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Recent questions and answers in Probability
17
votes
4
answers
1
GATE2010-26
Consider a company that assembles computers. The probability of a faulty assembly of any computer is $p$. The company therefore subjects each computer to a testing process. This testing process gives the correct result for any computer with a probability of $q$. What is the probability of a computer being declared faulty? $pq + (1 - p)(1 - q)$ $(1 - q)p$ $(1 - p)q$ $pq$
Consider a company that assembles computers. The probability of a faulty assembly of any computer is $p$. The company therefore subjects each computer to a testing process. This testing process gives the correct result for any computer with a probability of $q$. What is the probability of a computer being declared faulty? $pq + (1 - p)(1 - q)$ $(1 - q)p$ $(1 - p)q$ $pq$
answered
Sep 12
in
Probability
keshore muralidharan
3.1k
views
gate2010
probability
easy
29
votes
7
answers
2
GATE2011-34
A deck of $5$ cards (each carrying a distinct number from $1$ to $5$) is shuffled thoroughly. Two cards are then removed one at a time from the deck. What is the probability that the two cards are selected with the number on the first card being one higher than the number on the second ... $\left(\dfrac{4}{25}\right)$ $\left(\dfrac{1}{4}\right)$ $\left(\dfrac{2}{5}\right)$
A deck of $5$ cards (each carrying a distinct number from $1$ to $5$) is shuffled thoroughly. Two cards are then removed one at a time from the deck. What is the probability that the two cards are selected with the number on the first card being one higher than the number on the second card? ... $\left(\dfrac{4}{25}\right)$ $\left(\dfrac{1}{4}\right)$ $\left(\dfrac{2}{5}\right)$
answered
Sep 12
in
Probability
keshore muralidharan
4.7k
views
gate2011
probability
normal
25
votes
5
answers
3
GATE2016-2-05
Suppose that a shop has an equal number of LED bulbs of two different types. The probability of an LED bulb lasting more than $100$ hours given that it is of Type $1$ is $0.7$, and given that it is of Type $2$ is $0.4$. The probability that an LED bulb chosen uniformly at random lasts more than $100$ hours is _________.
Suppose that a shop has an equal number of LED bulbs of two different types. The probability of an LED bulb lasting more than $100$ hours given that it is of Type $1$ is $0.7$, and given that it is of Type $2$ is $0.4$. The probability that an LED bulb chosen uniformly at random lasts more than $100$ hours is _________.
answered
Sep 9
in
Probability
keshore muralidharan
3.6k
views
gate2016-2
probability
conditional-probability
normal
numerical-answers
23
votes
3
answers
4
GATE2016-1-04
A probability density function on the interval $[a, 1]$ is given by $1/x^{2}$ and outside this interval the value of the function is zero. The value of $a$ is _________.
A probability density function on the interval $[a, 1]$ is given by $1/x^{2}$ and outside this interval the value of the function is zero. The value of $a$ is _________.
answered
Sep 9
in
Probability
keshore muralidharan
4.7k
views
gate2016-1
probability
normal
numerical-ability
numerical-answers
continuous-distribution
32
votes
4
answers
5
GATE2017-2-26
$P$ and $Q$ are considering to apply for a job. The probability that $P$ applies for the job is $\dfrac{1}{4},$ the probability that $P$ applies for the job given that $Q$ applies for the job is $\dfrac{1}{2},$ and the probability that $Q$ applies for the job given that ... $\left(\dfrac{5}{6}\right)$ $\left(\dfrac{7}{8}\right)$ $\left(\dfrac{11}{12}\right)$
$P$ and $Q$ are considering to apply for a job. The probability that $P$ applies for the job is $\dfrac{1}{4},$ the probability that $P$ applies for the job given that $Q$ applies for the job is $\dfrac{1}{2},$ and the probability that $Q$ applies for the job given that $P$ applies ... $\left(\dfrac{4}{5}\right)$ $\left(\dfrac{5}{6}\right)$ $\left(\dfrac{7}{8}\right)$ $\left(\dfrac{11}{12}\right)$
answered
Sep 9
in
Probability
keshore muralidharan
5.4k
views
gate2017-2
probability
conditional-probability
22
votes
4
answers
6
GATE2017-2-31
For any discrete random variable $X$, with probability mass function $P(X=j)=p_j, p_j \geq 0, j \in \{0, \dots , N \}$, and $\Sigma_{j=0}^N \: p_j =1$, define the polynomial function $g_x(z) = \Sigma_{j=0}^N \: p_j \: z^j$. For a certain discrete random ... $Y$ is $N \beta(1-\beta)$ $N \beta$ $N (1-\beta)$ Not expressible in terms of $N$ and $\beta$ alone
For any discrete random variable $X$, with probability mass function $P(X=j)=p_j, p_j \geq 0, j \in \{0, \dots , N \}$, and $\Sigma_{j=0}^N \: p_j =1$, define the polynomial function $g_x(z) = \Sigma_{j=0}^N \: p_j \: z^j$. For a certain discrete random variable $Y$, ... $Y$ is $N \beta(1-\beta)$ $N \beta$ $N (1-\beta)$ Not expressible in terms of $N$ and $\beta$ alone
answered
Sep 9
in
Probability
keshore muralidharan
6.6k
views
gate2017-2
probability
random-variable
14
votes
5
answers
7
GATE1994-2.6
The probability of an event $B$ is $P_1$. The probability that events $A$ and $B$ occur together is $P_2$ while the probability that $A$ and $\bar{B}$ occur together is $P_3$. The probability of the event $A$ in terms of $P_1, P_2$ and $P_3$ is _____________
The probability of an event $B$ is $P_1$. The probability that events $A$ and $B$ occur together is $P_2$ while the probability that $A$ and $\bar{B}$ occur together is $P_3$. The probability of the event $A$ in terms of $P_1, P_2$ and $P_3$ is _____________
answered
Sep 6
in
Probability
Adarsh Pandey
1.3k
views
gate1994
probability
normal
descriptive
conditional-probability
1
vote
2
answers
8
A arrives at office at 8-10am regularly; B arrives at 9-11 am every day
A arrives at office at 8-10am regularly; B arrives at 9-11 am every day. Probability that one day B arrives before A? [Assume arrival time of both A and B are uniformly distributed]
A arrives at office at 8-10am regularly; B arrives at 9-11 am every day. Probability that one day B arrives before A? [Assume arrival time of both A and B are uniformly distributed]
answered
Sep 5
in
Probability
BikashPandey17
293
views
probability
counting
41
votes
5
answers
9
GATE2005-IT-32
An unbiased coin is tossed repeatedly until the outcome of two successive tosses is the same. Assuming that the trials are independent, the expected number of tosses is $3$ $4$ $5$ $6$
An unbiased coin is tossed repeatedly until the outcome of two successive tosses is the same. Assuming that the trials are independent, the expected number of tosses is $3$ $4$ $5$ $6$
answered
Sep 4
in
Probability
Madhab
7.9k
views
gate2005-it
probability
binomial-distribution
expectation
normal
16
votes
5
answers
10
GATE2004-78
Two $n$ bit binary strings, $S_1$ and $S_2$ are chosen randomly with uniform probability. The probability that the Hamming distance between these strings (the number of bit positions where the two strings differ) is equal to $d$ is $\dfrac{^{n}C_{d}}{2^{n}}$ $\dfrac{^{n}C_{d}}{2^{d}}$ $\dfrac{d}{2^{n}}$ $\dfrac{1}{2^{d}}$
Two $n$ bit binary strings, $S_1$ and $S_2$ are chosen randomly with uniform probability. The probability that the Hamming distance between these strings (the number of bit positions where the two strings differ) is equal to $d$ is $\dfrac{^{n}C_{d}}{2^{n}}$ $\dfrac{^{n}C_{d}}{2^{d}}$ $\dfrac{d}{2^{n}}$ $\dfrac{1}{2^{d}}$
answered
Sep 1
in
Probability
Jhaiyam
2.8k
views
gate2004
probability
normal
uniform-distribution
18
votes
8
answers
11
GATE2005-52
A random bit string of length n is constructed by tossing a fair coin n times and setting a bit to 0 or 1 depending on outcomes head and tail, respectively. The probability that two such randomly generated strings are not identical is: $\frac{1}{2^n}$ $1 - \frac{1}{n}$ $\frac{1}{n!}$ $1 - \frac{1}{2^n}$
A random bit string of length n is constructed by tossing a fair coin n times and setting a bit to 0 or 1 depending on outcomes head and tail, respectively. The probability that two such randomly generated strings are not identical is: $\frac{1}{2^n}$ $1 - \frac{1}{n}$ $\frac{1}{n!}$ $1 - \frac{1}{2^n}$
answered
Sep 1
in
Probability
Jhaiyam
2.8k
views
gate2005
probability
binomial-distribution
easy
1
vote
2
answers
12
TIFR2020-A-7
A lottery chooses four random winners. What is the probability that at least three of them are born on the same day of the week? Assume that the pool of candidates is so large that each winner is equally likely to be born on any of the seven days of the week independent of the other winners ... $\dfrac{48}{2401} \\$ $\dfrac{105}{2401} \\$ $\dfrac{175}{2401} \\$ $\dfrac{294}{2401}$
A lottery chooses four random winners. What is the probability that at least three of them are born on the same day of the week? Assume that the pool of candidates is so large that each winner is equally likely to be born on any of the seven days of the week independent of the other winners. ... $\dfrac{48}{2401} \\$ $\dfrac{105}{2401} \\$ $\dfrac{175}{2401} \\$ $\dfrac{294}{2401}$
answered
Aug 25
in
Probability
undecided
180
views
tifr2020
engineering-mathematics
probability
independent-events
2
votes
2
answers
13
coin
A fair coin is tossed n times .find probability of difference between head and tails is n-3
A fair coin is tossed n times .find probability of difference between head and tails is n-3
answered
Aug 18
in
Probability
Gyanu
1.9k
views
probability
easy
1
vote
2
answers
14
TIFR2020-A-1
Two balls are drawn uniformly at random without replacement from a set of five balls numbered $1,2,3,4,5.$ What is the expected value of the larger number on the balls drawn? $2.5$ $3$ $3.5$ $4$ None of the above
Two balls are drawn uniformly at random without replacement from a set of five balls numbered $1,2,3,4,5.$ What is the expected value of the larger number on the balls drawn? $2.5$ $3$ $3.5$ $4$ None of the above
answered
Aug 16
in
Probability
S.R.
169
views
tifr2020
engineering-mathematics
probability
expectation
17
votes
7
answers
15
GATE2018-15
Two people, $P$ and $Q$, decide to independently roll two identical dice, each with $6$ faces, numbered $1$ to $6$. The person with the lower number wins. In case of a tie, they roll the dice repeatedly until there is no tie. Define a trial ... probable and that all trials are independent. The probability (rounded to $3$ decimal places) that one of them wins on the third trial is ____
Two people, $P$ and $Q$, decide to independently roll two identical dice, each with $6$ faces, numbered $1$ to $6$. The person with the lower number wins. In case of a tie, they roll the dice repeatedly until there is no tie. Define a trial as a ... equi-probable and that all trials are independent. The probability (rounded to $3$ decimal places) that one of them wins on the third trial is ____
answered
Aug 9
in
Probability
Jhaiyam
4.4k
views
gate2018
probability
normal
numerical-answers
24
votes
2
answers
16
GATE2012-21
Consider a random variable $X$ that takes values $+1$ and $−1$ with probability $0.5$ each. The values of the cumulative distribution function $F(x)$ at $x = −1$ and $+1$ are $0$ and $0.5$ $0$ and $1$ $0.5$ and $1$ $0.25$ and $0.75$
Consider a random variable $X$ that takes values $+1$ and $−1$ with probability $0.5$ each. The values of the cumulative distribution function $F(x)$ at $x = −1$ and $+1$ are $0$ and $0.5$ $0$ and $1$ $0.5$ and $1$ $0.25$ and $0.75$
answered
Aug 7
in
Probability
Anit Pratap
4.4k
views
gate2012
probability
random-variable
easy
17
votes
4
answers
17
GATE2004-80
A point is randomly selected with uniform probability in the $X-Y$ plane within the rectangle with corners at $(0,0), (1,0), (1,2)$ and $(0,2).$ If $p$ is the length of the position vector of the point, the expected value of $p^{2}$ is $\left(\dfrac{2}{3}\right)$ $\quad 1$ $\left(\dfrac{4}{3}\right)$ $\left(\dfrac{5}{3}\right)$
A point is randomly selected with uniform probability in the $X-Y$ plane within the rectangle with corners at $(0,0), (1,0), (1,2)$ and $(0,2).$ If $p$ is the length of the position vector of the point, the expected value of $p^{2}$ is $\left(\dfrac{2}{3}\right)$ $\quad 1$ $\left(\dfrac{4}{3}\right)$ $\left(\dfrac{5}{3}\right)$
answered
Jul 29
in
Probability
vaibhavkedia968
3.8k
views
gate2004
probability
uniform-distribution
expectation
normal
0
votes
2
answers
18
NIELIT 2016 MAR Scientist B - Section B: 16
A box contains $10$ screws, $3$ of which are defective. Two screws are drawn at random with replacement. The probability that none of two screws is defective will be $100\%$ $50\%$ $49\%$ None of these.
A box contains $10$ screws, $3$ of which are defective. Two screws are drawn at random with replacement. The probability that none of two screws is defective will be $100\%$ $50\%$ $49\%$ None of these.
answered
Jul 21
in
Probability
Tauhin Gangwar
156
views
nielit2016mar-scientistb
probability
18
votes
5
answers
19
GATE2006-21
For each element in a set of size $2n$, an unbiased coin is tossed. The $2n$ coin tosses are independent. An element is chosen if the corresponding coin toss was a head. The probability that exactly $n$ elements are chosen is $\frac{^{2n}\mathrm{C}_n}{4^n}$ $\frac{^{2n}\mathrm{C}_n}{2^n}$ $\frac{1}{^{2n}\mathrm{C}_n}$ $\frac{1}{2}$
For each element in a set of size $2n$, an unbiased coin is tossed. The $2n$ coin tosses are independent. An element is chosen if the corresponding coin toss was a head. The probability that exactly $n$ elements are chosen is $\frac{^{2n}\mathrm{C}_n}{4^n}$ $\frac{^{2n}\mathrm{C}_n}{2^n}$ $\frac{1}{^{2n}\mathrm{C}_n}$ $\frac{1}{2}$
answered
Jul 20
in
Probability
Jhaiyam
3.1k
views
gate2006
probability
binomial-distribution
normal
5
votes
4
answers
20
ISI2017-MMA-27
A box contains $5$ fair and $5$ biased coins. Each biased coin has a probability of head $\frac{4}{5}$. A coin is drawn at random from the box and tossed. Then the second coin is drawn at random from the box ( without replacing the first one). Given that the first coin has shown head ... the second coin is fair is $\frac{20}{39}\\$ $\frac{20}{37}\\$ $\frac{1}{2}\\$ $\frac{7}{13}$
A box contains $5$ fair and $5$ biased coins. Each biased coin has a probability of head $\frac{4}{5}$. A coin is drawn at random from the box and tossed. Then the second coin is drawn at random from the box ( without replacing the first one). Given that the first coin has shown head, the ... that the second coin is fair is $\frac{20}{39}\\$ $\frac{20}{37}\\$ $\frac{1}{2}\\$ $\frac{7}{13}$
answered
Jul 14
in
Probability
rishabhjain18
1.1k
views
isi2017-mma
engineering-mathematics
probability
1
vote
1
answer
21
ESE 2018
In a sample of 100 students, the mean of the marks (only integers) obtained by them in a test is 14 with its standard deviation of 2.5(marks obtained can be fitted with a normal distribution ).the percentage of students scoring 16 marks is a)36 b)23 c)12 d)10 (Area under standard normal curve between z=0 and z=0.6 is 0.2257 ; and between z=0 and z=1.0 is 0.3413)
In a sample of 100 students, the mean of the marks (only integers) obtained by them in a test is 14 with its standard deviation of 2.5(marks obtained can be fitted with a normal distribution ).the percentage of students scoring 16 marks is a)36 b)23 c)12 d)10 (Area under standard normal curve between z=0 and z=0.6 is 0.2257 ; and between z=0 and z=1.0 is 0.3413)
answered
Jul 2
in
Probability
mohan123
667
views
probability
1
vote
3
answers
22
Probability-GFG
In a bunch of $13$ T-shirts only $1$ is of Medium size, which is correct fit for the searching person. Each time wrong size is picked, the person throws it away and pick the next T-shirt. What is the probability that the correct size T-shirt can be searched in $8^{th}$ attempt ? My attempt : $\frac{1}{13}$ where i went wrong ?
In a bunch of $13$ T-shirts only $1$ is of Medium size, which is correct fit for the searching person. Each time wrong size is picked, the person throws it away and pick the next T-shirt. What is the probability that the correct size T-shirt can be searched in $8^{th}$ attempt ? My attempt : $\frac{1}{13}$ where i went wrong ?
answered
Jun 17
in
Probability
Jhaiyam
565
views
probability
10
votes
4
answers
23
GATE1995-2.14
A bag contains $10$ white balls and $15$ black balls. Two balls are drawn in succession. The probability that one of them is black and the other is white is: $\frac{2}{3}$ $\frac{4}{5}$ $\frac{1}{2}$ $\frac{1}{3}$
A bag contains $10$ white balls and $15$ black balls. Two balls are drawn in succession. The probability that one of them is black and the other is white is: $\frac{2}{3}$ $\frac{4}{5}$ $\frac{1}{2}$ $\frac{1}{3}$
answered
Jun 17
in
Probability
manikantsharma
3.7k
views
gate1995
probability
normal
1
vote
1
answer
24
ISI2017-MMA-8
Let $X_1$, and $X_2$ and $X_3$ be chosen independently from the set $\{0, 1, 2, 3, 4\}$, each value being equally likely. What is the probability that the arithmetic mean of $X_1, X_2$ and $X_3$ is the same as their geometric mean? $\frac{1}{5^2}\\$ $\frac{1}{5^3}\\$ $\frac{3!}{5^3}\\$ $\frac{3}{5^3}$
Let $X_1$, and $X_2$ and $X_3$ be chosen independently from the set $\{0, 1, 2, 3, 4\}$, each value being equally likely. What is the probability that the arithmetic mean of $X_1, X_2$ and $X_3$ is the same as their geometric mean? $\frac{1}{5^2}\\$ $\frac{1}{5^3}\\$ $\frac{3!}{5^3}\\$ $\frac{3}{5^3}$
answered
Jun 7
in
Probability
Amartya
398
views
isi2017-mma
engineering-mathematics
probability
21
votes
4
answers
25
GATE2014-2-48
The probability that a given positive integer lying between $1$ and $100$ (both inclusive) is NOT divisible by $2$, $3$ or $5$ is ______ .
The probability that a given positive integer lying between $1$ and $100$ (both inclusive) is NOT divisible by $2$, $3$ or $5$ is ______ .
answered
Jun 6
in
Probability
luc_Bloodstone
3.2k
views
gate2014-2
probability
numerical-answers
normal
0
votes
2
answers
26
ISI2016-MMA-9
Suppose $X$ and $Y$ are two independent random variables both following Poisson distribution with parameter $\lambda$. What is the value of $E(X-Y)^2$ ? $\lambda$ $2 \lambda$ $\lambda^2$ $4 \lambda^2$
Suppose $X$ and $Y$ are two independent random variables both following Poisson distribution with parameter $\lambda$. What is the value of $E(X-Y)^2$ ? $\lambda$ $2 \lambda$ $\lambda^2$ $4 \lambda^2$
answered
Jun 5
in
Probability
smsubham
162
views
isi2016-mmamma
probability
random-variable
poisson-distribution
expectation
0
votes
1
answer
27
Probability- Gravner- 75.a
What is the probability that a Normal random variable differs from its mean $\mu$ by more than $\sigma$ ?
What is the probability that a Normal random variable differs from its mean $\mu$ by more than $\sigma$ ?
answered
Jun 4
in
Probability
smsubham
115
views
gravner
probability
engineering-mathematics
random-variable
normal-distribution
6
votes
2
answers
28
TIFR2010-A-10
A drawer contains $2$ Blue, $4$ Red and $2$ Yellow balls. No two balls have the same radius. If two balls are randomly selected from the drawer, what is the probability that they will be of the same colour? $\left(\dfrac{2}{7}\right)$ $\left(\dfrac{2}{5}\right)$ $\left(\dfrac{3}{7}\right)$ $\left(\dfrac{1}{2}\right)$ $\left(\dfrac{3}{5}\right)$
A drawer contains $2$ Blue, $4$ Red and $2$ Yellow balls. No two balls have the same radius. If two balls are randomly selected from the drawer, what is the probability that they will be of the same colour? $\left(\dfrac{2}{7}\right)$ $\left(\dfrac{2}{5}\right)$ $\left(\dfrac{3}{7}\right)$ $\left(\dfrac{1}{2}\right)$ $\left(\dfrac{3}{5}\right)$
answered
May 31
in
Probability
vipin.gautam1906
724
views
tifr2010
probability
20
votes
3
answers
29
TIFR2011-A-9
You have to play three games with opponents $A$ and $B$ in a specified sequence. You win the series if you win two consecutive games. $A$ is a stronger player than $B$. Which sequence maximizes your chance of winning the series? $AAB$ $ABA$ $BAB$ $BAA$ All are the same.
You have to play three games with opponents $A$ and $B$ in a specified sequence. You win the series if you win two consecutive games. $A$ is a stronger player than $B$. Which sequence maximizes your chance of winning the series? $AAB$ $ABA$ $BAB$ $BAA$ All are the same.
answered
May 28
in
Probability
Joyoshish Saha
886
views
tifr2011
probability
1
vote
1
answer
30
NIELIT 2017 DEC Scientific Assistant A - Section B: 44
If $X, Y$ and $Z$ are three exhaustive and mutually exclusive events related with any experiment and the $P\left(X \right)=0.5P\left(Y \right)$ and $P\left(Z \right)$ = $0.3P\left(Y \right)$. Then $P\left(Y \right)$ = ___________ . $0.54$ $0.66$ $0.33$ $0.44$
If $X, Y$ and $Z$ are three exhaustive and mutually exclusive events related with any experiment and the $P\left(X \right)=0.5P\left(Y \right)$ and $P\left(Z \right)$ = $0.3P\left(Y \right)$. Then $P\left(Y \right)$ = ___________ . $0.54$ $0.66$ $0.33$ $0.44$
answered
May 21
in
Probability
Mohit Kumar 6
57
views
nielit2017dec-assistanta
probability
1
vote
1
answer
31
NIELIT 2017 DEC Scientific Assistant A - Section B: 41
If a random coin is tossed $11$ times, then what is the probability that for $7$th toss head appears exactly $4$ times? $5/32$ $15/128$ $35/128$ None of the options
If a random coin is tossed $11$ times, then what is the probability that for $7$th toss head appears exactly $4$ times? $5/32$ $15/128$ $35/128$ None of the options
answered
May 21
in
Probability
Mohit Kumar 6
62
views
nielit2017dec-assistanta
probability
1
vote
3
answers
32
probability
Let x be the number obtained from rolling a fair dice and you toss an unbiassed coin X times. What is the probablity that X=5 given that you have obtained 3 heads from X tosses?
Let x be the number obtained from rolling a fair dice and you toss an unbiassed coin X times. What is the probablity that X=5 given that you have obtained 3 heads from X tosses?
answered
May 18
in
Probability
DIBAKAR MAJEE
386
views
conditional-probability
0
votes
2
answers
33
TIFR2020-A-10
In a certain year, there were exactly four Fridays and exactly four Mondays in January. On what day of the week did the $20^{th}$ of the January fall that year (recall that January has $31$ days)? Sunday Monday Wednesday Friday None of the others
In a certain year, there were exactly four Fridays and exactly four Mondays in January. On what day of the week did the $20^{th}$ of the January fall that year (recall that January has $31$ days)? Sunday Monday Wednesday Friday None of the others
answered
May 3
in
Probability
DIBAKAR MAJEE
217
views
tifr2020
engineering-mathematics
probability
0
votes
1
answer
34
NIELIT 2017 OCT Scientific Assistant A (CS) - Section B: 16
If $P$ is risk probability, $L$ is loss, then Risk Exposure $(RE)$ is computed as. $RE = P/L$ $RE = P + L$ $RE = P \ast L$ $RE = 2 \ast P \ast L$
If $P$ is risk probability, $L$ is loss, then Risk Exposure $(RE)$ is computed as. $RE = P/L$ $RE = P + L$ $RE = P \ast L$ $RE = 2 \ast P \ast L$
answered
May 2
in
Probability
Mohit Kumar 6
45
views
nielit2017oct-assistanta-cs
probability
7
votes
3
answers
35
Probability Gate EE 2016
Candidates were asked to come to an interview with 3 pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probability that a candidate comes with all 3 pens having the same colour is _________.
Candidates were asked to come to an interview with 3 pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probability that a candidate comes with all 3 pens having the same colour is _________.
answered
Apr 12
in
Probability
ragnarok
3.3k
views
probability
engineering-mathematics
1
vote
1
answer
36
NIELIT 2017 July Scientist B (IT) - Section B: 23
The probability that top and bottom cards of a randomly shuffled deck are both aces is: $4/52\times 4/52$ $4/52\times 3/52$ $4/52\times 3/51$ $4/52\times 4/51$
The probability that top and bottom cards of a randomly shuffled deck are both aces is: $4/52\times 4/52$ $4/52\times 3/52$ $4/52\times 3/51$ $4/52\times 4/51$
answered
Apr 3
in
Probability
immanujs
103
views
nielit2017july-scientistb-it
probability
13
votes
5
answers
37
TIFR2015-A-6
Ram has a fair coin, i.e., a toss of the coin results in either head or tail and each event happens with probability exactly half $(1/2)$. He repeatedly tosses the coin until he gets heads in two consecutive tosses. The expected number of coin tosses that Ram does is. $2$ $4$ $6$ $8$ None of the above.
Ram has a fair coin, i.e., a toss of the coin results in either head or tail and each event happens with probability exactly half $(1/2)$. He repeatedly tosses the coin until he gets heads in two consecutive tosses. The expected number of coin tosses that Ram does is. $2$ $4$ $6$ $8$ None of the above.
answered
Apr 1
in
Probability
tanishk1999
1.8k
views
tifr2015
expectation
1
vote
1
answer
38
UGCNET-Dec2007-II: 1
A box contains six red balls and four green balls. Four balls are selected at random from the box. What is the probability that two of the selected balls are red and two are green ? $\large\frac{3}{7}$ $\large\frac{4}{7}$ $\large\frac{5}{7}$ $\large\frac{6}{7}$
A box contains six red balls and four green balls. Four balls are selected at random from the box. What is the probability that two of the selected balls are red and two are green ? $\large\frac{3}{7}$ $\large\frac{4}{7}$ $\large\frac{5}{7}$ $\large\frac{6}{7}$
answered
Mar 29
in
Probability
haralk10
125
views
ugcnetdec2007ii
0
votes
1
answer
39
ISI2016-MMA-10
If $A_1, A_2, \dots , A_n$ are independent events with probabilities $p_1, p_2, \dots , p_n$ respectively, then $P( \cup_{i=1}^n A_i)$ equals $\Sigma_{i=1}^n \: \: p_i$ $\Pi_{i=1}^n \: \: p_i$ $\Pi_{i=1}^n \: \: (1-p_i)$ $1-\Pi_{i=1}^n \: \: (1-p_i)$
If $A_1, A_2, \dots , A_n$ are independent events with probabilities $p_1, p_2, \dots , p_n$ respectively, then $P( \cup_{i=1}^n A_i)$ equals $\Sigma_{i=1}^n \: \: p_i$ $\Pi_{i=1}^n \: \: p_i$ $\Pi_{i=1}^n \: \: (1-p_i)$ $1-\Pi_{i=1}^n \: \: (1-p_i)$
answered
Mar 19
in
Probability
SatyamK
94
views
isi2016-mmamma
probability
independent-events
1
vote
2
answers
40
NIELIT DEC 2017 SET-C 62
If a random coin is tossed 11 times then what is the probability that for 7th toss head appears exactly 4 times? A) 5/32 B) 15/128 C) 35/128 D) None of the options
If a random coin is tossed 11 times then what is the probability that for 7th toss head appears exactly 4 times? A) 5/32 B) 15/128 C) 35/128 D) None of the options
answered
Mar 19
in
Probability
topper98
567
views
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