Probability questions
692 published questions with worked solutions.
- Three persons P, Q and R independently try to hit a target. If the probabilities of their hitting the target are 34, 12 and 58...
- Three numbers are chosen from 1 to 30. The probability that minimum is 10 and maximum is 26 is _____
- If a discrete random variable X takes the values 1, 2, 3, 4 such that 2P(X = 1) = 3P(X = 2) = P(X = 3) = 5P(X = 4), then P(X = 4)...
- On average, one out of 10 persons is busy. If six persons are selected at random, then the probability that at least 5 of them...
- If the mean and the variance of a binomial variate X are 1 and 0.75 respectively, then which of the following is true?
- If the p. d. f. of a continuous random variable X is given by f(x)= cases k(9+8x-x^2),& for -1 x 4 0,& otherwise cases then the...
- A fair die is thrown 4 times. If getting a prime number on the die is considered as a success, then the probability of getting no...
- If the probabilities of a student succeeding in the entrance tests for institutes A, B and C are 0.6, 0.5 and 0.4 respectively,...
- A fair coin is tossed 9 times. On each toss, a man predicts that the outcome will be heads. The probability that the number of...
- Let A and B be independent events with P(B) = 2 5 , P(A B) = 11 20 , then P(A'|B) is root of the equation
- If X B(n, p) then P(X = k) P(X = k-1) =
- A box contains 9 tickets numbered 1 to 9 both inclusive. If 3 tickets are drawn from the box one at a time, then the probability...
- The probability distribution of a discrete random variable X is X: 0, 1, 2, 3, 4 P(X=x): 2k, K, 2k, 4k, K If a=P(x<3) and b=P(2...
- If a random variable X follows the Binomial distribution B (33, p) such that 3P(X = 0)=P(X=1), then the variance of X is
- Bag A contains 3 white and 5 black balls while bag B contains 4 white and 3 black balls- A ball is selected at random from bag A...
- The probability that a bomb will hit the target is 0.8. Out of 6 bombs dropped, probability that at least 1 will miss the target...
- Given the probability density function (p.d.f.) of the random variable X, f(x)= 1 2a ,0<x<2a,a>0 =0, otherwise, then which of the...
- If in 6 trials, X is a binomial random variable which follows the relation 9P(x = 4) = P(x = 2), then the probability of failure...
- For k = 1, 2, 3 the box B_k contains k red balls and (k+1) white balls. Let P(B_1)= 1 2 , P(B_2)= 1 3 and P(B_3)= 1 6 . A box is...
- A fair coin is tossed 99 times. If X is the number of times head occur then P[X=r] is maximum when r =
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