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Recent questions and answers in Probability
+10
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2
answers
1
ISI2015MMA7
Suppose $X$ is distributed as Poisson with mean $λ.$ Then $E(1/(X + 1))$ is $\frac{e^{\lambda }1}{\lambda }$ $\frac{e^{\lambda }1}{\lambda +1}$ $\frac{1e^{\lambda }}{\lambda}$ $\frac{1e^{\lambda }}{\lambda + 1}$
answered
Oct 14
in
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isi2015
engineeringmathematics
poissondistribution
0
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ugc net 2018 july80
answered
Sep 23
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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?
answered
Sep 11
in
Probability
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Kvothe
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101
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122
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probability
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engineeringmathematics
+13
votes
6
answers
4
GATE19981.1
A die is rolled three times. The probability that exactly one odd number turns up among the three outcomes is $\dfrac{1}{6}$ $\dfrac{3}{8}$ $\dfrac{1}{8}$ $\dfrac{1}{2}$
answered
Sep 7
in
Probability
by
gateuser123
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21
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2.3k
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gate1998
probability
easy
+17
votes
7
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5
GATE20033
Let $P(E)$ denote the probability of the event $E$. Given $P(A) = 1$, $P(B) =\dfrac{1}{2}$, the values of $P(A\mid B)$ and $P(B\mid A)$ respectively are $\left(\dfrac{1}{4}\right),\left(\dfrac{1}{2}\right)$ $\left(\dfrac{1}{2}\right),\left(\dfrac{1}{4}\right)$ $\left(\dfrac{1}{2}\right),{1}$ ${1},\left(\dfrac{1}{2}\right)$
answered
Aug 28
in
Probability
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Doraemon
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499
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gate2003
probability
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conditionalprobability
+15
votes
6
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6
GATE200552
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
Aug 28
in
Probability
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Doraemon
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499
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1.7k
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gate2005
probability
binomialdistribution
easy
0
votes
1
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7
#Normal distribution
If a certain normal distribution of $X$, the probability is $0.5$ that $X$ is less than $500$ and $0.0227$ that $X$ is greater than $650$. What is the standard deviation of $X$? How to compute S.D, of above?
answered
Aug 24
in
Probability
by
GoalSet1
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189
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82
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probability
+11
votes
4
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8
TIFR2012A20
There are $1000$ balls in a bag, of which $900$ are black and $100$ are white. I randomly draw $100$ balls from the bag. What is the probability that the $101$st ball will be black? $9/10$ More than $9/10$ but less than $1$. Less than $9/10$ but more than $0$. $0$ $1$
answered
Aug 16
in
Probability
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!KARAN
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655
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tifr2012
probability
0
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1
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9
Probability  Gravner49.c
You have $16$ balls, $4$ green, and $9$ red. You also have $3$ urns. For each of the $16$ balls. you select an urn at random and put the ball into it.(Urns are large enough to accommodate any number of balls.) (c) What is the probability that each urn contains all three colors?
answered
Jul 31
in
Probability
by
blackcloud
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135
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27
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gravner
probability
engineeringmathematics
+12
votes
13
answers
10
TIFR2012A1
Amar and Akbar both tell the truth with probability $\dfrac{3 } {4}$ and lie with probability $\dfrac{1}{4}$. Amar watches a test match and talks to Akbar about the outcome. Akbar, in turn, tells Anthony, "Amar told me that India won". What probability should Anthony ... $\left(\dfrac{7}{16}\right)$ $\left(\dfrac{10}{16}\right)$ None of the above
answered
Jul 25
in
Probability
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Arghya Mukherjee
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17
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1.5k
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tifr2012
probability
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+1
vote
3
answers
11
Suppose that 100 people enter a contest and that different winners are selected at random for first, second, and third prizes. What is the probability that Michelle wins one of these prizes if she is one of the contestants?
answered
Jul 21
in
Probability
by
mohan123
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967
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931
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0
votes
1
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12
Probability
Suppose that a bag contains 8 blue cubes and 4 green cubes. We draw 2 cubes from the bag without replacement. It is given that blue balls are of weight 1Kg and green balls are of weight 0.5 Kg. Suppose that the probability that a given cube in the bag ... is its weight divided by the sum of the weights of all cubes currently in the bag. What is the probability that both cubes are blue.
answered
Jul 20
in
Probability
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bankeshk
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47
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probability
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+1
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2
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13
ProbabilityGFG
In a bunch of $13$ Tshirts 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 Tshirt. What is the probability that the correct size Tshirt can be searched in $8^{th}$ attempt ? My attempt : $\frac{1}{13}$ where i went wrong ?
answered
Jul 16
in
Probability
by
arjun0001
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21
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333
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probability
0
votes
3
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14
Grewal
Suppose avg waiting time of a process to get chance in a queue is 5 min. What will the probability that process get chance at first minute is ________________
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Jun 30
in
Probability
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SuvasishDutta
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probability
+28
votes
3
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15
GATE201324
Consider an undirected random graph of eight vertices. The probability that there is an edge between a pair of vertices is $\dfrac{1}{2}.$ What is the expected number of unordered cycles of length three? $\dfrac {1}{8}$ $1$ $7$ $8$
answered
Jun 29
in
Probability
by
anupamisi
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17
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4.8k
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gate2013
probability
expectation
normal
+43
votes
10
answers
16
GATE201233
Suppose a fair sixsided die is rolled once. If the value on the die is $1, 2,$ or $3,$ the die is rolled a second time. What is the probability that the sum total of values that turn up is at least $6$ ? $\dfrac{10}{21}$ $\dfrac{5}{12}$ $\dfrac{2}{3}$ $\dfrac{1}{6}$
answered
Jun 29
in
Probability
by
anupamisi
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17
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6.2k
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gate2012
probability
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normal
0
votes
1
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17
A FIRST COURSE IN PROBABILITY (SHELDON ROSS),CHAPTER 4 RANDOM VARIABLES, QUESTION#43
answered
Jun 26
in
Probability
by
Arkaprava
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76
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probability
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randomvariable
0
votes
2
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18
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 $1/2$ $1/3$ $1/4$ $1/6$
answered
Jun 20
in
Probability
by
srestha
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(
116k
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53
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isi2018mma
engineeringmathematics
probability
0
votes
2
answers
19
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 $0$ $1/16$ $1/8$ $1/4$
answered
Jun 20
in
Probability
by
srestha
Veteran
(
116k
points)

41
views
isi2018mma
engineeringmathematics
probability
0
votes
3
answers
20
ISI2019MMA22
A coin with probability $p (0 < p < 1)$ of getting head, is tossed until a head appears for the first time. If the probability that the number of tosses required is even is $2/5$, then the value of $p$ is $2/7$ $1/3$ $5/7$ $2/3$
answered
Jun 20
in
Probability
by
srestha
Veteran
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116k
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138
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isi2019mma
probability
+4
votes
2
answers
21
TIFR2015A12
Consider two independent and identically distributed random variables $X$ and $Y$ uniformly distributed in $[0, 1]$. For $\alpha \in \left[0, 1\right]$, the probability that $\alpha$ max $(X, Y) < XY$ is $1/ (2\alpha)$ exp $(1  \alpha)$ $1  \alpha$ $(1  \alpha)^{2}$ $1  \alpha^{2}$
answered
Jun 19
in
Probability
by
srestha
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116k
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236
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tifr2015
probability
randomvariable
uniformdistribution
+4
votes
2
answers
22
TIFR2018A10
Let $C$ be a biased coin such that the probability of a head turning up is $p.$ Let $p_n$ denote the probability that an odd number of heads occurs after $n$ tosses for $n \in \{0,1,2,\ldots \},$ ... $p_{n}=1 \text{ if } n \text{ is odd and } 0 \text{ otherwise}.$
answered
Jun 16
in
Probability
by
Arjun
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421k
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291
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tifr2018
probability
+2
votes
1
answer
23
TIFR2013A18
Consider three independent uniformly distributed (taking values between $0$ and $1$) random variables. What is the probability that the middle of the three values (between the lowest and the highest value) lies between $a$ and $b$ where $0 ≤ a < b ≤ 1$? $3 (1  b) a (b  a)$ ... $(1  b) a (b  a)$ $6 ((b^{2} a^{2})/ 2  (b^{3}  a^{3})/3)$.
answered
Jun 16
in
Probability
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Arjun
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241
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tifr2013
probability
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uniformdistribution
+2
votes
1
answer
24
GATE19894viii
Provide short answers to the following questions: $P_{n} (t)$ is the probability of $n$ events occurring during a time interval $t$. How will you express $P_{0} (t + h)$ in terms of $P_{0} (h)$, if $P_{0} (t)$ has stationary independent increments? (Note: $P_{t} (t)$is the probability density function).
answered
Jun 15
in
Probability
by
Arjun
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421k
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121
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gate1989
descriptive
probability
poissondistribution
+1
vote
1
answer
25
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?
answered
Jun 12
in
Probability
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Debdeep1998
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879
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probability
randomvariable
sheldonross
+1
vote
1
answer
26
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?
answered
Jun 12
in
Probability
by
Debdeep1998
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879
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139
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probability
sheldonross
randomvariable
0
votes
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27
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?
answered
Jun 11
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Probability
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157
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permutationandcombination
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+3
votes
3
answers
28
ISI2017MMA27
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 $\frac{20}{39}\\$ $\frac{20}{37}\\$ $\frac{1}{2}\\$ $\frac{7}{13}$
answered
Jun 9
in
Probability
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ankitrazzagmail.com
(
171
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340
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isi2017mma
engineeringmathematics
probability
+2
votes
1
answer
29
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 ___________
answered
Jun 3
in
Probability
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lolster
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233
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119
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gate2017ec2
probability
0
votes
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30
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?
answered
May 31
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Probability
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108
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algorithms
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31
Ace Test Series: Probability  Uniform Distribution
answered
May 15
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noob_coder
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32
GATE 2015 SET2 Q 29
Let the random variable X represent the number of times a fair coin needs to be tossed till two consecutive heads appear for the first time. The expectation of X is _______.
[closed]
answered
May 14
in
Probability
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Alakhator
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265
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216
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probability
usergate2015
usermod
expectation
0
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1
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33
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 $\binom{n}{m}/n^m\\$ $\binom{n}{m}/m^n\\$ $\binom{m+n1}{m1}/n^m\\$ $\binom{m+n1}{m}/m^n$
answered
May 12
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isi2018mma
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0
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34
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
answered
May 11
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sakharam
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isi2018mma
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35
ISI2019MMA10
The chance of a student getting admitted to colleges $A$ and $B$ are $60\%$ and $40\%$, respectively. Assume that the colleges admit students independently. If the student is told that he has been admitted to at least one of these colleges, what is the probability that he has got admitted to college $A$? $3/5$ $5/7$ $10/13$ $15/19$
answered
May 7
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Probability
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Arkaprava
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isi2019mma
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+1
vote
2
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36
Gate 2018: Probability
In a box, there are $2$ red, $3$ black and $4$ blue coloured balls. The probability of drawing $2$ blue balls in sequence without replacing, and then drawing $1$ black ball from this box is _________ %.
answered
May 1
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Hirak
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usergate2018
probability
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+24
votes
4
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37
GATE2016129
Consider the following experiment. Step 1. Flip a fair coin twice. Step 2. If the outcomes are (TAILS, HEADS) then output $Y$ and stop. Step 3. If the outcomes are either (HEADS, HEADS) or (HEADS, TAILS), then output $N$ and stop. Step 4. If the outcomes are (TAILS, TAILS), then go to Step 1. The probability that the output of the experiment is $Y$ is (up to two decimal places)
answered
Apr 23
in
Probability
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ShamikBanerjee
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931
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3.8k
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gate20161
probability
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numericalanswers
+16
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3
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38
GATE2008IT23
What is the probability that in a randomly chosen group of $r$ people at least three people have the same birthday? $1\dfrac{365364 \dots (365r+1)}{365^{r}}$ ... $\dfrac{365 \cdot 364 \dots (365r+1)}{365^{r}}$
answered
Apr 22
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gate2008it
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39
Probability of error detection
A block of bits with n rows and m columns uses horizontal and vertical parity bits for error detection. If exactly 4 bits are in error during transmission, derive an expression for the probability that the error will be detected.
asked
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56
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40
CMI Data Science 2018 (Probability)
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Apr 18
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usercmi2018
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