Probability questions
692 published questions with worked solutions.
- An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without...
- Out of 3n consecutive natural numbers, 3 natural numbers are chosen at random without replacement. The probability that the sum...
- From a group of 8 boys and 3 girls, a committee of 5 members to be formed. Find the probability that 2 particular girls are...
- The probability that the three cards drawn from a pack of 52 cards, are all black, is
- In an assembly of 4 persons the probability that at least 2 of them have the same birthday, is
- Probability of all 3-digit numbers having all the digits same is
- Probability of getting positive integral roots of the equation x^2 - n = 0 for the integer n, 1 n 40 is
- A committee of five is to be chosen from a group of 9 people. The probability that a certain married couple will either serve...
- Let S be the sample space of the random experiment of throwing simultaneously two unbiased dice with six faces (numbered 1 to 6)...
- One card is drawn at random from a pack of 52 cards. What is the probability that it is a King or Queen?
- The probability that a student will solve problem A is 2/3, and the probability that he will not solve problem B is 5/9. If the...
- If A and B are two events such that P( A B ) = 1 6 , P(A B) = 1 4 and P( A ) = 1 4 , where A stands for complement of the event...
- The probability of occurrence of at least one of two events A and B is p. If the probability that exactly one of A, B occurs is...
- A pair of dice is thrown. If sum of the numbers is an odd number, what is the probability that sum is divisible by 3?
- If P(A') = 0.7, P(B) = 0.7, P(B/A) = 0.5, P(A/B) is
- Out of 50 tickets numbered 00, 01, 02, , 49, one ticket is drawn randomly, the probability of the ticket having the product of...
- An urn contains 4 black and 6 white balls. Two balls are drawn one after the other without replacement, what is the probability...
- If A, B and C are mutually exclusive and exhaustive events of a random experiment such that P(B) = 3 2 P(A) and P(C) = 1 2 P(B),...
- The probability of India winning a test match against South Africa is 1/2 assuming independence form match to match played. The...
- Of the three independent events E_1, E_2 and E_3, the probability that only E_1 occurs is , only E_2 occurs is and only E_3...
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