Probability questions
692 published questions with worked solutions.
- Out of 11 consecutive natural numbers if three numbers are selected at random (without repetition), then the probability that...
- The probabilities of three events A, B and C are given by P(A) = 0.6, P(B) = 0.4 and P(C) = 0.5. If P(A ∪ B) = 0.8, P(A ∩ C) =...
- A coin is tossed 8 times. If the probability that exactly 4 heads appear in the first six tosses and exactly 3 heads appear in...
- From a month of 31 days, 3 different dates are selected at random. If the probability that these dates are in an increasing A.P....
- The probabilities that players A and B of a team are selected for the captaincy for a tournament are 0.6 and 0.4, respectively....
- A letter is known to have arrived by post either from KANPUR or from ANANTPUR. On the envelope just two consecutive letters AN...
- A candidate has to go to the examination centre to appear in an examination. The candidate uses only one means of transportation...
- An urn contains 6 white and 9 black balls. Two successive draws of 4 balls are made without replacement. The probability, that...
- A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required and let a = P(X = 3), b = P(X...
- An integer is chosen at random from the integers 1, 2, 3, ..., 50. The probability that the chosen integer is a multiple of...
- A fair die is thrown until 2 appears. Then the probability, that 2 appears in even number of throws, is-
- Bag A contains 3 white, 7 red balls and Bag B contains 3 white, 2 red balls. One bag is selected at random and a ball is drawn...
- Two integers x and y are chosen with replacement from the set 0, 1, 2, 3, …, 10 . Then the probability that |x – y| > 5, is:
- A coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed 3 times then the probability of...
- Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 orange marbles, with replacement being...
- Let A denote the event that a 6-digit integer formed by 0, 1, 2, 3, 4, 5, 6 without repetitions, be divisible by 3. Then...
- A pack of cards has one card missing. Two cards are drawn randomly and are found to be spades. The probability that the missing...
- Two dice are rolled. If both dices have six faces numbered 1, 2, 3, 5, 7 and 11, then the probability that the sum of the numbers...
- Let there be 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...
- Let in a Binomial distribution, consisting of 5 independent trials, probabilities of exactly 1 and 2 successes be 0.4096 and...
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