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Recent questions and answers in Probability
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GATE2008IT23
What is the probability that in a randomly chosen group of $r$ people at least three people have the same birthday? $1\dfrac{365364 \dots (365r+1)}{365^{r}}$ ... $\dfrac{365 \cdot 364 \dots (365r+1)}{365^{r}}$
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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.
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CMI Data Science 2018 (Probability)
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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.
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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: $\dfrac{4}{19}$ $\dfrac{5}{19}$ $\dfrac{2}{9}$ $\dfrac{19}{30}$
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Apr 15
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Rishi yadav
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gate2005
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6
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?
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Apr 14
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Probability
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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
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Probability
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Prajna
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77
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25
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probability
+2
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1
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8
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.
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Apr 8
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Probability
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Asim Siddiqui 4
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5
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9
ISI201721
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 $\left(\dfrac{1}{2}\right)$ $\left(\dfrac{1}{3}\right)$ $\left(\dfrac{1}{4}\right)$ $\left(\dfrac{1}{6}\right)$
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Apr 2
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Probability
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isi2017
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10
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
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Doraemon
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195
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24
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probability
sheldonross
0
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4
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11
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
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Mar 10
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Probability
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abhishekmehta4u
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isro2012ece
isroece
engineeringmathematics
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12
Zeal Test Series 2019: Probability  Probability
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Mar 9
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Probability
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Gurdeep Saini
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40
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zeal
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2
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13
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
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Probability
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zeeshanmohnavi
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probability
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14
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
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Probability
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abhishekmehta4u
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isroee
engineeringmathematics
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15
Ace Test Series: Probability  Uniform Distribution
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Mar 6
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Probability
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Priyadrasta Raut
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randomvariable
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expectation
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acetestseries
0
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1
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16
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
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Yash4444
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455
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76
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conditionalprobability
+16
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3
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17
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?
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Feb 21
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Probability
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Ram Swaroop
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gate1998
probability
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+28
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4
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18
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
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Probability
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Ram Swaroop
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4.3k
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gate20172
expectation
poissondistribution
numericalanswers
+22
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5
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19
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 $R=0$ $R<0$ $R\geq 0$ $R > 0$
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Feb 20
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Probability
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Ram Swaroop
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2.1k
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gate2011
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20
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 ________________
answered
Feb 20
in
Probability
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Rakshit Aaryan
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37
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probability
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21
Discrete random variable
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Feb 20
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Probability
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Na462
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78
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probability
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22
Central limit theorem
(Central Limit Theorem) Let X1, X2, . . . , X81 be i.i.d., each with expected value µ = E(Xi) = 5, and variance σ2 = Var(Xi) = 4. Approximate P(X1 + X2 +· · · X81 > 369), using the central limit theorem.
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Feb 19
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Probability
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Na462
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28
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probability
0
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23
Probability mass function
Suppose that the cdf of X is given by: F(a) ={ 0 for a < 0 1/5 for 0 ≤ a < 2 2/5 for 2 ≤ a < 4 1 for a ≥ 4. } Determine the pmf of X.
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Feb 19
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Probability
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26
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engineeringmathematics
randomvariable
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24
Probability density function
Let R be the rate at which customers are served in a queue. Suppose that R is exponential with pdf f(r) = 2e^(−2r) on [0, ∞). Find the pdf of the waiting time per customer T = 1/R.
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Feb 19
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Probability
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Na462
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21
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engineeringmathematics
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25
Expectation
Suppose 100 people all toss a hat into a box and then proceed to randomly pick out a hat. What is the expected number of people to get their own hat back. Hint: express the number of people who get their own hat as a sum of random variables whose expected value is easy to compute.
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Feb 19
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Probability
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Na462
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#probability#expectation
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26
JEST 2019
Three dice are rolled independently. Probability of obtaining the difference from largest and smallest number as exactly 4 :
answered
Feb 18
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Probability
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Satbir
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5.9k
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87
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jest
probability
0
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27
Conditional Probability
A multiple choice exam has 4 choices for each question. A student has studied enough so that the probability they will know the answer to a question is 0.5, the probability that they will be able to eliminate one choice is 0.25, otherwise ... the test to measure what the student knows. If the student answers a question correctly what's the probability they knew the answer?
answered
Feb 18
in
Probability
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prashant jha 1
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conditionalprobability
probability
+1
vote
3
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28
TIFR2011MathsB10
Suppose a box contains three cards, one with both sides white, one with both sides black, and one with one side white and the other side black. If you pick a card at random, and the side facing you is white, then the probability that the other side is white is $1/2$.
answered
Feb 16
in
Probability
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Sreyasree Mandal
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157
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190
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tifrmaths2011
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0
votes
1
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29
JEST Sample Question 1c
If a fair die (with 6 faces) is cast twice, what is the probability that the two numbers obtained differ by 2? (A) 1/12 (B) 1/6 (C) 2/9 (D) 1/2
answered
Feb 15
in
Probability
by
Prateek Raghuvanshi
Boss
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45
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jest
probability
discretemathematics
+1
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30
JEST Sample Question6
Two gamblers have an argument. The first one claims that if a fair coin is tossed repeatedly, getting two consecutive heads is very unlikely. The second, naturally, is denying this. They decide to settle this by an actual trial; if, within n coin tosses, ... demonstrated. What happens for larger values of n? Is it true that P (n) only increases with n? Justify your answer.
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Feb 15
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Probability
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sripo
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25
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jest
engineeringmathematics
probability
0
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31
Sheldon ross example 5f
A poker hand consists of 5 cards.If the cards have distinct consecutive values and are not all of the same suit,we say that hand is straight.For instance a hand consisting of the five of spades,six of spades,seven of spades,eight of spades and nine of hearts is a straight.What is the probability that one is dealt is a straight?
answered
Feb 14
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Probability
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Satbir
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34
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0
votes
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32
Probability
Bob has a peculiar pair of foursided dice. When he rolls the dice, the probability of any particular outcome is proportional to the sum of the results of each die. All outcomes that result in a particular sum are equally likely. (a) What is the probability of the ... Here what do we mean by the line  any particular outcome is proportional to the sum of the results of each die.
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Feb 14
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Probability
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ck
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0
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33
A family has two children. Given that one of the children is a boy, what is the probability that both children are boys?
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Feb 14
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probability
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34
Probability
Let 3 cards are drawn from a pack of 52 cards one by one without replacement then find the prob that 3 cards are drawn out of which 2 are ace Ace and one is King?
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Feb 13
in
Probability
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rtalwar
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68
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0
votes
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35
Expectation
How is E[X1/X>1]=E[X]. Please explain.
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Feb 12
in
Probability
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DIYA BASU
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289
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29
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+1
vote
3
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36
GATE 2019 23
Q.23 Two numbers are chosen independently and uniformly at random from the set (1, 2,..., 13]. The probability (rounded off to 3 decimal places) that their 4bit (unsigned) binary representations have the same most significant bit is
answered
Feb 12
in
Probability
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mkagenius
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409
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570
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usergate2019
usermod
probability
numericalanswers
normal
+2
votes
3
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37
Uniform probability distribution
X is uniformly distributed random variable that takes values between 0 and 1.The value of E(X^3) will be
answered
Feb 12
in
Probability
by
Shashi Shekhar 1
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781
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746
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randomvariable
expectation
+4
votes
3
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38
GATE201947
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal place) _______
answered
Feb 12
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Probability
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gate2019
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0
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39
Sheldon and Ross
Two balls each equally likely to be colored either red or blue, are put in an urn. At each stage one of the balls is randomly chosen, its color is noted, and it is then returned to the urn.if the first two balls chosen are colored red, what is the probability that a>both balls in the urn are colored red b>the next ball chosen will be red how to solve this?
asked
Feb 7
in
Probability
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DIYA BASU
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289
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68
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40
query
Can someone provide me with the names of good resources for continuous random variable?
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Feb 6
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