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Recent questions tagged probability
Webpage for Probability
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GATE2020CS17
Let $\mathcal{R}$ be the set of all binary relations on the set $\{1,2,3\}$. Suppose a relation is chosen from $\mathcal{R}$ at random. The probability that the chosen relation is reflexive (round off to $3$ decimal places) is ______.
asked
Feb 12
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Probability
by
Arjun
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gate2020cs
numericalanswers
probability
0
votes
1
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2
TIFR2020A10
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
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Feb 10
in
Probability
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Lakshman Patel RJIT
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tifr2020
engineeringmathematics
probability
0
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1
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3
TIFR2020A7
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 ... . $\dfrac{17}{2401}$ $\dfrac{48}{2401}$ $\dfrac{105}{2401}$ $\dfrac{175}{2401}$ $\dfrac{294}{2401}$
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Feb 10
in
Probability
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Lakshman Patel RJIT
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tifr2020
engineeringmathematics
probability
independentevents
0
votes
0
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4
TIFR2020A4
Fix $n\geq 4.$ Suppose there is a particle that moves randomly on the number line, but never leaves the set $\{1,2,\dots,n\}.$ Let the initial probability distribution of the particle be denoted by $\overrightarrow{\pi}.$ In the first step, if the particle is at position $i,$ it ... $i\neq 1$ $\overrightarrow{\pi}(n) = 1$ and $\overrightarrow{\pi}(i) = 0$ for $i\neq n$
asked
Feb 10
in
Probability
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Lakshman Patel RJIT
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tifr2020
engineeringmathematics
probability
uniformdistribution
0
votes
1
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5
TIFR2020A1
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
asked
Feb 10
in
Probability
by
Lakshman Patel RJIT
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61.3k
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47
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tifr2020
engineeringmathematics
probability
expectation
0
votes
1
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6
ISRO202056
For the distributions given below : Which of the following is correct for the above distributions ? Standard deviation of $A$ is significantly lower than standard deviation of $B$ Standard deviation of $A$ is slightly lower than standard deviation of $B$ Standard ... $B$ Standard deviation of $A$ is significantly higher than standard deviation of $B$
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Jan 13
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Probability
by
Satbir
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300
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isro2020
probability
standarddeviation
normal
+1
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0
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7
Variation on Birthday Problem
So, I have read the birthday paradox problem, and now I came across below question: Assuming the following: there are no leap years, all years have $n = 365$ days and that people's birthdays are uniformly distributed across the $n$ days of the year. (i) How many ... $n=23$, this works out to be 0.53 and Yes it seems to me I am done. Please correct me If I am wrong.
asked
Nov 12, 2019
in
Probability
by
Ayush Upadhyaya
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30.7k
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202
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probability
+1
vote
0
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8
Gravner probability
Each day, you independently decide, with probability p, to flip a fair coin. Otherwise, you do nothing. (a) What is the probability of getting exactly 10 Heads in the first 20 days? (b) What is the probability of getting 10 Heads before 5 Tails?
asked
Oct 23, 2019
in
Probability
by
ajaysoni1924
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11.1k
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113
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gravner
probability
engineeringmathematics
0
votes
1
answer
9
ISI2015MMA51
A permutation of $1,2, \dots, n$ is chosen at random. Then the probability that the numbers $1$ and $2$ appear as neighbour equals $\frac{1}{n}$ $\frac{2}{n}$ $\frac{1}{n1}$ $\frac{1}{n2}$
asked
Sep 23, 2019
in
Probability
by
Arjun
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435k
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isi2015mma
probability
randomvariable
permutationandcombination
+1
vote
1
answer
10
ISI2015MMA52
Two coins are tossed independently where $P$(head occurs when coin $i$ is tossed) $=p_i, \: i=1,2$. Given that at least one head has occurred, the probability that coins produced different outcomes is $\frac{2p_1p_2}{p_1+p_22p_1p_2}$ $\frac{p_1+p_22p_1p_2}{p_1+p_2p_1p_2}$ $\frac{2}{3}$ none of the above
asked
Sep 23, 2019
in
Probability
by
Arjun
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435k
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60
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isi2015mma
probability
independentevents
+1
vote
1
answer
11
ISI2017DCG22
Let $A_1,A_2,A_3, \dots , A_n$ be $n$ independent events such that $P(A_i) = \frac{1}{i+1}$ for $i=1,2,3, \dots , n$. The probability that none of $A_1, A_2, A_3, \dots , A_n$ occurs is $\frac{n}{n+1}$ $\frac{1}{n+1}$ $\frac{n1}{n+1}$ none of these
asked
Sep 18, 2019
in
Probability
by
gatecse
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17.7k
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60
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isi2017dcg
probability
independentevents
+1
vote
3
answers
12
ISI2017DCG23
A determinant is chosen at random from the set of all determinants of order $2$ with elements $0$ or $1$ only. The probability of choosing a nonzero determinant is $\frac{3}{16}$ $\frac{3}{8}$ $\frac{1}{4}$ none of these
asked
Sep 18, 2019
in
Calculus
by
gatecse
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17.7k
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69
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isi2017dcg
probability
determinants
0
votes
2
answers
13
ISI2017DCG28
A basket contains some white and blue marbles. Two marbles are drawn randomly from the basket without replacement. The probability of selecting first a white and then a blue marble is $0.2$. The probability of selecting a white marble in the first draw is $0.5$. What is the ... blue marble in the second draw, given that the first marble drawn was white? $0.1$ $0.4$ $0.5$ $0.2$
asked
Sep 18, 2019
in
Probability
by
gatecse
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17.7k
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77
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isi2017dcg
probability
ballsinbins
+2
votes
1
answer
14
ISI2018DCG2
If $P$ is an integer from $1$ to $50$, what is the probability that $P(P+1)$ is divisible by $4$? $0.25$ $0.50$ $0.48$ none of these
asked
Sep 18, 2019
in
Probability
by
gatecse
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17.7k
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75
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isi2018dcg
probability
numbersystem
+1
vote
1
answer
15
ISI2018DCG6
A die is thrown thrice. If the first throw is a $4$ then the probability of getting $15$ as the sum of three throws is $\frac{1}{108}$ $\frac{1}{6}$ $\frac{1}{18}$ none of these
asked
Sep 18, 2019
in
Probability
by
gatecse
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17.7k
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60
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isi2018dcg
probability
+2
votes
2
answers
16
CMI2019A6
Suppose you alternate between throwing a normal sixsided fair die and tossing a fair coin. You start by throwing the die. What is the probability that you will see a $5$ on the die before you see tails on the coin? $\frac{1}{12}$ $\frac{1}{6}$ $\frac{2}{9}$ $\frac{2}{7}$
asked
Sep 13, 2019
in
Probability
by
gatecse
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153
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cmi2019
probability
0
votes
1
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17
Sheldon Ross Chapter2 Question15b
If it is assumed that all $\binom{52}{5}$ poker hands are equally likely, what is the probability of being dealt two pairs? (This occurs when the cards have denominations a, a, b, b, c, where a, b, and c are all distinct.) my approach is: selecting a ... I'm getting answer 0.095 but in the book answer is given 0.0475 where am I going wrong?
asked
Jun 14, 2019
in
Probability
by
aditi19
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5.3k
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153
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probability
sheldonross
engineeringmathematics
0
votes
1
answer
18
Sheldon Ross Example5n
Compute the probability that if 10 married couples are seated at random at a round table, then no wife sits next to her husband 1 wife sits next to her husband. pick one of the 10 couples=$\binom{10}{1}$. These couples can interchange their position such that ... sits together=$\frac{N}{19!}$ so probability that no couple sits together=$1\frac{N}{19!}$ is this correct?
asked
Jun 11, 2019
in
Probability
by
aditi19
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5.3k
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248
views
permutationandcombination
probability
discretemathematics
sheldonross
+2
votes
1
answer
19
Mathematics: GATE2017 EC222
Consider the random process: $X\left ( t \right )=U+Vt$ where $U$ is zeromean Gaussian random variable and $V$ is a random variable uniformly distributed between $0$ and $2.$ Assume $U$ and $V$ statistically independent. The mean value of random process at $t=2$ is ___________
asked
Jun 3, 2019
in
Probability
by
srestha
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120k
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201
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gate2017ec2
probability
+1
vote
0
answers
20
Descrete Mathematic ACE Text Book Practice Question #16
A women's health clinic has four doctors and each patient is assigned to one of them. If a patient givs birth btween 8 am and 4 pm, then her chance of being attended by her assigned doctor is 3/4, otherwise it is 1/4. What is the probability that ... is attended by the assigned doctor when she gives birth? (A) 25/144 (B) 5/12 (C) 7/12 (D) 1/12
asked
May 30, 2019
in
Mathematical Logic
by
JAYKISHAN
(
117
points)

156
views
probability
acebooklet
+1
vote
1
answer
21
Sheldon Ross, Chapter# 4 RANDOM VARIABLES, Q.51 (9th edition page#167)
If a student copies his assignments from his friend he would get 80 marks. If he had done the assignments independently he would have scored 50 marks out of 100 and if the teacher finds he is cheating he ... , what is the probability that he will lose more marks with copying than by doing his independent work independently?
asked
May 28, 2019
in
Probability
by
Asim Siddiqui 4
Active
(
1.7k
points)

179
views
probability
sheldonross
randomvariable
0
votes
1
answer
22
Probability question of CLRS
In a restaurant each of $n$ customer gives a hat to the hat check person. The hat check person gives the hat back to the customer in a random order. What is expected number of customer who get back their own hat?
asked
May 27, 2019
in
Probability
by
srestha
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120k
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128
views
algorithms
probability
0
votes
1
answer
23
A FIRST COURSE IN PROBABILITY (SHELDON ROSS),CHAPTER 4 RANDOM VARIABLES, QUESTION#43
asked
May 27, 2019
in
Probability
by
Asim Siddiqui 4
Active
(
1.7k
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124
views
probability
sheldonross
randomvariable
+1
vote
1
answer
24
Sheldon Ross, Chapter #4, Question #13
An airline operates a flight having 50 seats. As they expect some passenger to not show up, they overbook the flight by selling 51 tickets. The probability that an individual passenger will not show up is 0.01, independent of all other ... the airline has to pay a compensation of Rs.1lakh to that passenger. What is the expected revenue of the airline?
asked
May 21, 2019
in
Probability
by
Asim Siddiqui 4
Active
(
1.7k
points)

109
views
probability
randomvariable
sheldonross
+1
vote
2
answers
25
GATE2017 CE2: GA5
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is $\frac{1}{9}$ $\frac{2}{9}$ $\frac{1}{3}$ $\frac{4}{9}$
asked
May 18, 2019
in
Numerical Ability
by
Lakshman Patel RJIT
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61.3k
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178
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gate2017ce2
numericalability
probability
0
votes
2
answers
26
#probability(self doubt)
An automobile showroom has 10 cars, 2 of which are defective. If you are going to buy the 6th car sold that day at random, then the probability of selecting a defective car is??
asked
May 13, 2019
in
Combinatory
by
G Shaheena
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1.3k
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61
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probability
+1
vote
1
answer
27
ISI2018MMA20
Consider the set of all functions from $\{1, 2, . . . ,m\}$ to $\{1, 2, . . . , n\}$,where $n > m$. If a function is chosen from this set at random, the probability that it will be strictly increasing is $\binom{n}{m}/n^m\\$ $\binom{n}{m}/m^n\\$ $\binom{m+n1}{m1}/n^m\\$ $\binom{m+n1}{m}/m^n$
asked
May 11, 2019
in
Probability
by
akash.dinkar12
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42.8k
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155
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isi2018mma
engineeringmathematics
probability
0
votes
2
answers
28
ISI2018MMA18
Let $A_1 = (0, 0), A_2 = (1, 0), A_3 = (1, 1)\ $and$\ A_4 = (0, 1)$ be the four vertices of a square. A particle starts from the point $A_1$ at time $0$ and moves either to $A_2$ or to $A_4$ with equal probability. Similarly, in each of the subsequent ... $T$ be the minimum number of steps required to cover all four vertices. The probability $P(T = 4)$ is $0$ $1/16$ $1/8$ $1/4$
asked
May 11, 2019
in
Probability
by
akash.dinkar12
Boss
(
42.8k
points)

85
views
isi2018mma
engineeringmathematics
probability
0
votes
2
answers
29
ISI2018MMA17
There are eight coins, seven of which have the same weight and the other one weighs more. In order to find the coin having more weight, a person randomly chooses two coins and puts one coin on each side of a common balance. If these two coins are found to have the same ... as before. The probability that the coin will be identified at the second draw is $1/2$ $1/3$ $1/4$ $1/6$
asked
May 11, 2019
in
Probability
by
akash.dinkar12
Boss
(
42.8k
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113
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isi2018mma
engineeringmathematics
probability
0
votes
2
answers
30
ISI2018MMA16
Consider a large village, where only two newspapers $P_1$ and $P_2$ are available to the families. It is known that the proportion of families not taking $P_1$ is $0.48$, not taking $P_2$ is $0.58$, taking only $P_2$ is $0.30$. The probability that a randomly chosen family from the village takes only $P_1$ is $0.24$ $0.28$ $0.40$ can not be determined
asked
May 11, 2019
in
Probability
by
akash.dinkar12
Boss
(
42.8k
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137
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isi2018mma
engineeringmathematics
probability
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