Probability questions
692 published questions with worked solutions.
- Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2,...
- It is given that the events A and B are such that P(A) = 14, P ( AB ) = 12 and P ( BA ) = 23. Then P(B) is
- A die is thrown. Let A be the event that the number obtained is greater than 3 . Let B be the event that the number obtained is...
- In a binomial distribution B (n, p = 14 ), if the probability of at least one success is greater than or equal to 9 10 , then n...
- One ticket is selected at random from 50 tickets numbered 00, 01, 02, ..., 49. Then the probability that the sum of the digits on...
- An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without...
- Consider 5 independent Bernoulli's trials each with probability of success p. If the probability of at least one failure is...
- If C and D are two events such that C D and P(D) 0, then the correct statement among the following is
- Let in a Binominal distribution, consisting of 5 independent trials, probabilities of exactly 1 and 2 success be 0.4096 and...
- A random variable X has the following probability distribution X=x_i : 1, 2, 3, 4 p(X=x_i) : 0.2, 0.4, 0.3, 0.1 The mean and...
- If a discrete random variable X takes values 0,1, 2,3 ....... with probability P(X= x) = k(x + 1) 5^ -x where k is a constant...
- The bulbs are drawn successively with replacement from a lot containing 10% defective bulbs then the probability that there is at...
- Two cards are drawn successively with replacement from a well-shuffled pack of 52 cards. Let X denote the random variable of...
- Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Let X denote the random variable of...
- A random variable X has the following probability distribution. Then value of k is _____ and P(3<x 6) has the value _____. X = x...
- Let X B (6, 12 ), then P[|x-4| 2] is
- A man and his wife appear for an interview for two posts. The probability of the husband's selection is 1 7 and that of the...
- For an entry to a certain course, a candidate is given twenty problems to solve. If the probability that the candidate can solve...
- A random variable has the following probability distribution X: 0, 1, 2, 3, 4, 5, 6, 7 p(x): 0, 2p, 2p, 3p, p^2, 2p^2, 7p^2, 2p...
- Let A and B be two events such that the probability that exactly one of them occurs is 25 and the probability that A or B occurs...
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