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Recent questions and answers in Probability
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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 $1/2$ $1/3$ $1/4$ $1/6$
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ago
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Probability
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srestha
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isi2018
engineeringmathematics
probability
0
votes
2
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2
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 $0$ $1/16$ $1/8$ $1/4$
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ago
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Probability
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srestha
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isi2018
engineeringmathematics
probability
0
votes
3
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3
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 $2/7$ $1/3$ $5/7$ $2/3$
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4 days
ago
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Probability
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srestha
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124
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isi2019
probability
+4
votes
2
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4
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 $(1  \alpha)$ $1  \alpha$ $(1  \alpha)^{2}$ $1  \alpha^{2}$
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ago
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Probability
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srestha
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tifr2015
probability
randomvariable
uniformdistribution
+4
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2
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5
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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272
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tifr2018
probability
+2
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1
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6
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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222
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tifr2013
probability
randomvariable
uniformdistribution
+2
votes
1
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7
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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408k
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110
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gate1989
descriptive
probability
poissondistribution
0
votes
0
answers
8
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
in
Probability
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aditi19
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84
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probability
sheldonross
engineeringmathematics
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vote
1
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9
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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849
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probability
randomvariable
sheldonross
+1
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1
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10
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
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Debdeep1998
Junior
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849
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77
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probability
sheldonross
randomvariable
0
votes
1
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11
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
in
Probability
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Satbir
Boss
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113
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permutationandcombination
probability
discretemathematics
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+3
votes
3
answers
12
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
by
ankitrazzagmail.com
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61
points)

311
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isi2017
engineeringmathematics
probability
0
votes
1
answer
13
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 ___________
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Jun 3
in
Probability
by
lolster
(
223
points)

75
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gate2017ec2
probability
0
votes
1
answer
14
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
in
Probability
by
Hirak
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88
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algorithms
probability
0
votes
0
answers
15
A FIRST COURSE IN PROBABILITY (SHELDON ROSS),CHAPTER 4 RANDOM VARIABLES, QUESTION#43
asked
May 27
in
Probability
by
Asim Siddiqui 4
Junior
(
843
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42
views
probability
sheldonross
randomvariable
0
votes
2
answers
16
Ace Test Series: Probability  Uniform Distribution
answered
May 15
in
Probability
by
noob_coder
(
431
points)

112
views
randomvariable
probability
expectation
uniformdistribution
acetestseries
0
votes
1
answer
17
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 _______.
answered
May 14
in
Probability
by
Alakhator
(
135
points)

168
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probability
usergate2015
usermod
expectation
0
votes
1
answer
18
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
in
Probability
by
Arkaprava
Active
(
1.8k
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33
views
isi2018
engineeringmathematics
probability
0
votes
1
answer
19
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
in
Probability
by
sakharam
Active
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2.8k
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43
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isi2018
engineeringmathematics
probability
0
votes
1
answer
20
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
in
Probability
by
Arkaprava
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1.8k
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125
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isi2019
engineeringmathematics
discretemathematics
probability
+1
vote
2
answers
21
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
in
Probability
by
Hirak
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3k
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127
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usergate2018
probability
normal
+20
votes
4
answers
22
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
by
ShamikBanerjee
Junior
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835
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3.7k
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gate20161
probability
normal
numericalanswers
+16
votes
3
answers
23
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
in
Probability
by
Winner
(
249
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2k
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gate2008it
probability
normal
0
votes
0
answers
24
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
Apr 20
in
Probability
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Priyanka17
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51
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0
votes
1
answer
25
CMI Data Science 2018 (Probability)
answered
Apr 18
in
Probability
by
Manas Mishra
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103
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usercmi2018
probability
0
votes
0
answers
26
ISI paper
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
Apr 18
in
Probability
by
Priyanka17
Active
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1.1k
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22
views
+9
votes
6
answers
27
GATE200551
Box $P$ has $2$ red balls and $3$ blue balls and box $Q$ has $3$ red balls and $1$ blue ball. A ball is selected as follows: (i) select a box (ii) choose a ball from the selected box such that each ball in the box is equally likely to be chosen. The probabilities of ... probability that it came from the box $P$ is: $\dfrac{4}{19}$ $\dfrac{5}{19}$ $\dfrac{2}{9}$ $\dfrac{19}{30}$
answered
Apr 15
in
Probability
by
Rishi yadav
Boss
(
10.5k
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1.4k
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gate2005
probability
conditionalprobability
normal
0
votes
1
answer
28
Sheldon Ross Chapter 2.7
The chess clubs of two schools consists of, respectively, 8 and 9 players. Four members from each club are randomly chosen to participate in a contest between the two schools. The chosen players from one team are then randomly paired with those from the ... schools but will not play each other? (c) exactly one of Rebecca and Elise will be chosen to represent her school?
answered
Apr 14
in
Probability
by
Asim Siddiqui 4
Junior
(
843
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54
views
0
votes
0
answers
29
PGCET2010CS
The expected value of a probability function, when probability is measured on a scale of 0 to 1, coincides with it's (a) Mean (b) Variance (c) Standard deviation (d) None of them
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Apr 9
in
Probability
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Prajna
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165
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36
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probability
+2
votes
1
answer
30
sheldon ross, chapter 2, question 17
If 8 rooks are randomly placed on a chessboard, compute the probability that none of the rooks can caputre any of the others. That is compute the probability that no row or file contains more than one rook.
answered
Apr 8
in
Probability
by
Asim Siddiqui 4
Junior
(
843
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142
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probability
discretemathematics
+2
votes
5
answers
31
ISI2017MMA21
There are four machines and it is known that exactly two of them are faulty. They are tested one by one in a random order till both the faulty machines are identified. The probability that only two tests are required is $\left(\dfrac{1}{2}\right)$ $\left(\dfrac{1}{3}\right)$ $\left(\dfrac{1}{4}\right)$ $\left(\dfrac{1}{6}\right)$
answered
Apr 2
in
Probability
by
amanpandey007
(
13
points)

512
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isi2017
engineeringmathematics
probability
0
votes
0
answers
32
SHELDON AND ROSS
Twelve percent of all US households are in California. A total of 3.3 percent of all US households earn over 250000 per year, while a total of 6.3 percent California households earn over 250000 per year. If a randomly chosen US household earns over 250,000 per year, ... 10^(3)/(0.033)=0.2291 But the answer given in the instructors manual is .2066 What is wrong with my logic??
asked
Mar 22
in
Probability
by
Doraemon
(
179
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41
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probability
sheldonross
0
votes
4
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33
ISRO2012ECE Probability
Person X can solve 80% of the ISRO question paper and Person Y can solve 60%. The probability that at least one of them will solve a problem from the question paper, selected at random is : a. 0.48 b. 0.70 c. 0.88 d. 0.92
answered
Mar 10
in
Probability
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abhishekmehta4u
Boss
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33.9k
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300
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isro2012ece
isroece
engineeringmathematics
probability
0
votes
1
answer
34
Zeal Test Series 2019: Probability  Probability
answered
Mar 9
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Probability
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Gurdeep Saini
Loyal
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9.4k
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46
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zeal
engineeringmathematics
probability
zeal2019
0
votes
2
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35
Probability  Independent Events
What is the probability that, in six throws of a die, there will be exactly one each of “1”, “2”, “3”, “4”, “5” and “6”? $0.00187220$ $0.01432110$ $0.01176210$ $0.01543210$
answered
Mar 8
in
Probability
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zeeshanmohnavi
Junior
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833
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66
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probability
engineeringmathematics
+1
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2
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36
ISRO 2014 probability [EE]
A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is (A) 140 (B) 196 (C) 280 (D) 346
answered
Mar 7
in
Probability
by
abhishekmehta4u
Boss
(
33.9k
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350
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isroee
engineeringmathematics
probability
0
votes
1
answer
37
Conditional probability
Oscar has lost his dog in either forest A (with a priori probability 0.4) or in forest B (with a priori probability 0.6). On any given day, if the dog is in A and Oscar spends a day searching for it in A, the conditional probability that he will ﬁnd the dog that day is 0.25. ... +(1/2)*0.15; but the answer given is=(0.5*0.4*0.25)+(0.5*0.6*0.15); what is wrong with my logic?
answered
Mar 1
in
Probability
by
Yash4444
(
469
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138
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conditionalprobability
+16
votes
3
answers
38
GATE19983a
Two friends agree to meet at a park with the following conditions. Each will reach the park between 4:00 pm and 5:00 pm and will see if the other has already arrived. If not, they will wait for 10 minutes or the end of the hour whichever is earlier and leave. What is the probability that the two will not meet?
answered
Feb 21
in
Probability
by
Ram Swaroop
Active
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3k
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1.4k
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gate1998
probability
normal
numericalanswers
uniformdistribution
+28
votes
4
answers
39
GATE2017248
If a random variable $X$ has a Poisson distribution with mean $5$, then the expectation $E\left [ \left ( x+2 \right )^{2} \right ]$ equals ___.
answered
Feb 21
in
Probability
by
Ram Swaroop
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4.4k
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gate20172
expectation
poissondistribution
numericalanswers
probability
+22
votes
5
answers
40
GATE201118
If the difference between the expectation of the square of a random variable $\left(E\left[X^2\right]\right)$ and the square of the expectation of the random variable $\left(E\left[X\right]\right)^2$ is denoted by $R$, then $R=0$ $R<0$ $R\geq 0$ $R > 0$
answered
Feb 20
in
Probability
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Ram Swaroop
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2.2k
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gate2011
probability
randomvariable
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normal
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