Recent questions and answers in Probability - GATE CSE Doubts

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TIFR-2019 probabilty
consider an urn with ‘a’ red and ‘b’ blue ball . Balls are drawn out one by one without replacement uniformly at random until the first red ball is drawn .what is expected no of ball drawn?

asked Mar 25 in Probability by sridhar15399 (5 points) | 5 views

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TIFR-GS2021 Question
Lavanya and Ketak each flip a fair coin (i.e., both heads and tails have equal probability of appearing) $n$ times. What is the probability that Lavanya sees more heads than Ketak? In the following, the binomial conefficient $n\choose k$ counts the number of $k$-element subsets of an $n$-element ... $\sum_{i=0}^{n}\frac{{n\choose i}}{2^{2n}}$

asked Mar 24 in Probability by zxy123 (3.6k points) | 7 views

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TIFR-GS2021 Question
A matching in a graph is a set of edges such that no two edges in the set share a common vertex. Let $G$ be a graph on $n$ vertices in which there is a subset $M$ of $m$ ... $p^{2m}$ (D) $(1 - p^2)^m$ (E) $1 - (1 - p(1 - p))^m$

asked Mar 24 in Probability by zxy123 (3.6k points) | 7 views

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TIFR-GS2021Question
What is the probability that at least two out of four people have their birthdays in the same month, assuming their birthdays are uniformly distributed over the twelve months? (A) $\frac{25}{48}$ (B) $\frac{5}{8}$ (C) $\frac{5}{12}$ (D) $\frac{41}{96}$ (E) $\frac{55}{96}$

asked Mar 24 in Probability by zxy123 (3.6k points) | 7 views

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Which books should i refer for learning distributions in probability?

asked Mar 4 in Probability by kaleen bhaiya (9 points) | 14 views

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DRDO 2020 computer science descriptive exam
Consider a binomial experiment of flipping a biased coin five times with probability of head ,p=0.75 and probability of tail q=0.25 in each flip. What is the probability that last two flips will be heads if the first three flips are known to be tails ?

asked Feb 25 in Probability by rapidxy (9 points) | 25 views

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Made easy postal course
A bag contains 5 black, 2 red and 3 white marbles. Three marbles are drawn simultaneously. The probability that the drawn marbles are of the different color is ?

answered Jan 20 in Probability by SarathBaswa (849 points) | 22 views

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Made easy booklet
Bag contains 5 black, 2 red and 3 white marbles. Three marbles are drawn simultaneously. Find probability that they're of different colour

asked Jan 14 in Probability by farazbukhari0 (5 points) | 30 views

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Previous year question
In this previous year question https://gateoverflow.in/179371/, can someone PLEASE explain why is it wrong to say that if i have probability of success = $\frac{1}{26^{10}}$ ... ? Please give a proper reason like, the reason why we can't say the answer is B is because checking is a dependent event.

asked Jan 9 in Probability by reboot (5 points) | 30 views

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MATHS MADEEASY PRACTICE WORKBOOK
A student is taking a multiple choice exam in which each question has 5 possible answers exactly one of which is correct.If the student knows the answer he selects the correct answer. Otherwise he selects one answer at random from the 5 possible choices. ... question the student gets the correct answer? I AM GETTING 0.76 IN SOME SOURCES IT IS GIVEN 0.718 PLEASE SEE

asked Dec 20, 2020 in Probability by eyeamgj (29 points) | 25 views

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Probability Binomial Distribution NCERT Doubt
In a hurdle race, a player has to cross 10 hurdles. The probability that he will clear each hurdle is 5/6 . What is the probability that he will knock down fewer than 2 hurdles?

answered Dec 2, 2020 in Probability by zxy123 (3.6k points) | 28 views

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Probability ncert doubt
Find the probability that at most 2 heads and at most 2 tails occur when 4 coins are tossed simultaneously?

answered Dec 2, 2020 in Probability by zxy123 (3.6k points) | 47 views

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Probability NCERT Book Doubt
The probability of number of defectives in a lot is 35%. There are 4 items taken out with replacement. Find the probability that none of the items are defective?

asked Nov 30, 2020 in Probability by Dheera (-14 points) | 36 views

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Bayes Theorem self doubt
A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be both diamonds. Find the probability of the lost card being a diamond.

asked Nov 27, 2020 in Probability by Dheera (-14 points) | 20 views

+1 vote

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TIFR 2020 From System Science
Balls are drawn one after the other uniformly at random without replacement from a set of eight balls numbered 1,2,...,8 until all balls drawn what is expected number of balls whose value matched their ordinality (i.e their position in the order in which ... that the i-th ball is drawn at the i-th draw ? now can you use linearity of expectation to solve the problem

answered Nov 27, 2020 in Probability by zxy123 (3.6k points) | 30 views

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NIELIT NIC scientist-B 2020 set-C ques 75
Let X1,X2,...X50 be independent random variables following N(0,1) distribution. Let Y=$\sum_{i=1}^{50} X_{i}^{2}$ and E(Y)=a and Var(Y)=b. Then the ordered pair (a,b) is: (50,100) (50,50) (25,50) (25,100)

answered Nov 26, 2020 in Probability by ankitgupta.1729 (357 points) | 112 views

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answered Nov 3, 2020 in Probability by zxy123 (3.6k points) | 22 views

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BS Gerewal engineering mathematics
hey guys, what is meant by the statement- “cards are drawn in succession” . does it means whether one by one the cards were drawn OR all the cards were drawn at once any help is really appreciated….

answered Oct 30, 2020 in Probability by SarathBaswa (849 points) | 17 views

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online search
There are 10 pairs of shoes in a cupboard, from which 4 shoes are picked at random, then find the probability of at least one pair.

answered Oct 22, 2020 in Probability by ayush.5 (99 points) | 51 views

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MADEEASY WORK BOOK
THE AVERAGE DEVIATION OF ALL THE ITEMS IN THE DATA FROM ZERO IS EQUAL TO………… ARITHMETIC MEAN MEDIAN, MODE, STANDARD DEVIATION , VARIANCE I THINK ITS MEAN……? IS IT CORRECT?

asked Oct 20, 2020 in Probability by eyeamgj (29 points) | 16 views

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About Random Variable
From where to read random variable beacause in gate there are lot of tricky question asked Specially from uniform ,normal ,poisson,exponential random variable. So please give me some hint

answered Oct 9, 2020 in Probability by ijnuhb (747 points) | 17 views

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Exponential Distribution (probability) - self doubts

asked Sep 21, 2020 in Probability by Dipankar Giri (5 points) | 17 views

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Uniform Distribution (Probability)-Self doubts
What is Uniform Distribution in Probability?? Please discuss it with example!!! Thank you!!!

asked Sep 21, 2020 in Probability by Dipankar Giri (5 points) | 14 views

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ROSEN question on Probability
find p(F I E) If p(E I F) = 1/3, p(E I F’) = 1/4, and p(F) = 2/3, where E and F are events from a sample space S. Is p(F I E) 11/12?

answered Sep 15, 2020 in Probability by Ehraz Hasan (366 points) | 45 views

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Gravner Probability Exercise

answered Sep 7, 2020 in Probability by ijnuhb (747 points) | 52 views

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made easy # q num 20
Two fair dices are rolled and the sum r of the numbers are turned up is considered then find pr(r=8|r/4 is an integer.

asked Aug 29, 2020 in Probability by k.saurav (5 points) | 12 views

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#GATE_PI_2018
In a service centre, cars arrive according to possion distribution with a mean of two cars per hour. The time of servicing a car is exponential with a mean of 15 minutes. The expected waiting time(in minutes) in the queue is (A)10 (B)15 (C)25 (D)30 how to solve this type of question?

answered Aug 27, 2020 in Probability by suvradip das (119 points) | 79 views

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probability basic
In a family with 4 children, what is the probability of a 2:2 boy-girl split?

answered Aug 23, 2020 in Probability by SarathBaswa (849 points) | 245 views

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conditional probability self doubt
in given probability question how can we assure that , we have to apply here conditional probability P(A/B) or multiplication rule P(A&B)?

answered Aug 16, 2020 in Probability by Arkaprava (801 points) | 30 views

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Self Doubt: Eng. Math
what is median of $max\left ( x,y \right )$? Will it be $0$ or $\frac{x+y}{2}$?

answered Aug 15, 2020 in Probability by Arkaprava (801 points) | 54 views

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Combinatorics and Probability
Six people including A,B, and C, form a queue in a random order (all 6! orderings are equiprobable). Consider the event "A precedes B in the queue". (Again this event does not mention C or other people in the queue. It happens when A is ... not require that B is the next after A, some people could be between A and B.) What is the probability of this event?

answered Aug 15, 2020 in Probability by manas_kulkarni (1 point) | 323 views

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A first course in probability
Let A denote the event that the midtown temperature in Los Angeles is 70◦F, and let B denote the event that the midtown temperature in New York is 70◦F. Also, let C denote the event that the maximum of the midtown temperatures in New York and in Los Angeles is ... ,P(B) = .4, and P(C) = .2, find the probability that the minimum of the two midtown temperatures is 70◦F.

answered Aug 13, 2020 in Probability by Arkaprava (801 points) | 49 views

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A first course in probability by Ross
Let A denote the event that the midtown temperature in Los Angeles is 70◦F, and let B denote the event that the midtown temperature in New York is 70◦F. Also, let C denote the event that the maximum of the midtown temperatures in New York and in Los ... ,P(B) =.4, and P(C) = .2, find the probability that the minimum of the two midtown temperatures is 70◦F.

answered Aug 13, 2020 in Probability by Arkaprava (801 points) | 87 views

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A first course in probability by Ross
A basketball team consists of 6 frontcourt and 4 backcourt players. If players are divided into roommates at random, what is the probability that there will be exactly two roommate pairs made up of a backcourt and a frontcourt player?

answered Aug 13, 2020 in Probability by Arkaprava (801 points) | 81 views

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#A First Course In Probability Sheldon Ross #self_doubt

answered Aug 13, 2020 in Probability by SarathBaswa (849 points) | 25 views

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Made easy test series flt1 probability
Consider the set X = {1 ,2, 3 …. 15}. Two elements ‘a’ and ‘b’ are chosen at random from S. The probability that the elements chosen satisfy a + b = 16 is equal to ________. (Upto 2 decimal places)

answered Aug 12, 2020 in Probability by Arkaprava (801 points) | 54 views

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self doubt question, No source of question
a random variable $x$ follows binomial distribution with $mean = 2$ times of variance and $mean + variance = 3$, then $p(x) = 3$ is...

answered Aug 12, 2020 in Probability by Arkaprava (801 points) | 29 views

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Self doubt- Independent events
In probability, in case of 3 events, why do we need to check pair wise independence rather than just mutual?

answered Aug 11, 2020 in Probability by Arkaprava (801 points) | 35 views

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Conditional Probablity
Conditional probabilities Remark. In your answers to all three questions of this section, give an explanation as to why you believe your answer is correct. Marks will not be awarded for answers with numbers not accompanied by any explanation or ... that a student studies Computer Science, and the probability that the student is male provided that he studies Computer Science

answered Aug 11, 2020 in Probability by SarathBaswa (849 points) | 38 views

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Combinatorics and Probability
Six people, including A,B, and C, form a queue in a random order (all 6! orderings are equiprobable). Consider the event "B is between A and C in the queue". What is its probability? (The order of A and C can be arbitrary, but B should be between them).

answered Aug 11, 2020 in Probability by SarathBaswa (849 points) | 35 views

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