Probability questions
692 published questions with worked solutions.
- If two different numbers are taken from the set 0, 1, 2, 3, ……, 10 , then the probability that their sum as well as absolute...
- Let A, B and C be three events, which are pair-wise independent and E denotes the complement of an event E. If P(A B C) = 0 and...
- Two different families A and B are blessed with equal number of children. There are 3 tickets to be distributed amongst the...
- The minimum number of times one has to toss a fair coin so that the probability of observing at least one head is at least 90% is:
- Four persons can hit a target correctly with probabilities 12, 13, 14 and 18 respectively. If all hit at the target...
- Minimum number of times a fair coin must be tossed so that the probability of getting at least one head is more than 99% is:
- A box 'A' contains 2 white, 3 red and 2 black balls. Another box 'B' contains 4 white, 2 red and 3 black balls. If two balls are...
- Two newspapers A and B are published in a city. It is known that 25% of the city population reads A and 20% reads B while 8%...
- Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the conditional...
- An urn contains 5 red and 2 green balls. A ball is drawn at random from the urn. If the drawn ball is green, then a red ball is...
- Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. Let X denote the random variable of...
- Let a random variable X have a binomial distribution with mean 8 and variance 4. If P(X 2) = k 2^ 16 , then k is equal to:
- If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these...
- In a game, a man wins Rs. 100 if he gets 5 or 6 on a throw of a fair die and loses Rs. 50 for getting any other number on the...
- In a class of 60 students, 40 opted for NCC, 30 opted for NSS and 20 opted for both NCC and NSS. If one of these students is...
- Two integers are selected at random from the set 1, 2, …., 11 . Given that the sum of selected numbers is even, the conditional...
- An unbiased coin is tossed. If the outcome is a head then a pair of unbiased dice is rolled and the sum of the numbers obtained...
- For an initial screening of an admission test, a candidate is given fifty problems to solve. If the probability that the...
- In a workshop, there are five machines and the probability of any one of them to be out of service on a day is 1 4 . If the...
- A random variable X has the following probability distribution : | X | 1 | 2 | 3 | 4 | 5 | |---|---|---|---|---|---| | P(X) | K^2...
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