Probability questions
692 published questions with worked solutions.
- If 10 different balls are to be placed in 4 distinct boxes at random, then the probability that two of these boxes contain...
- In a box, there are 20 cards, out of which 10 are labelled as A and the remaining 10 are labelled as B. Cards are drawn at...
- The probability that a randomly chosen 5-digit number is made from exactly two digits is :
- Let Ajay will not appear in JEE exam with probability p = 27, while both Ajay and Vijay will appear in the exam with probability...
- A bag contains 8 balls, whose colours are either white or black. 4 balls are drawn at random without replacement and it was found...
- If the mean of the following probability distribution of a random variable X: | X | 0 | 2 | 4 | 6 | 8 | |---|---|---|---|---|---|...
- In a tournament, a team plays 10 matches with probabilities of winning and losing each match as 13 and 23 respectively. Let x be...
- Three urns A, B and C contain 7 red, 5 black; 5 red, 7 black and 6 red, 6 black balls, respectively. One of the urn is selected...
- A company has two plants A and B to manufacture motorcycles. 60% motorcycles are manufactured at plant A and the remaining are...
- Let A and B be two independent events such that P(A)= 1 3 and P(B)= 1 6 . Then, which of the following is TRUE ?
- Let A and B be two events such that the probability that exactly one of them occurs is 2 5 and the probability that A or B occurs...
- Let E^C denote the complement of an event E. Let E_1, E_2 and E_3 be any pairwise independent events with P(E_1)>0 and P(E_1 E_2...
- If three letters can be posted to any one of the 5 different addresses, then the probability that the three letters are posted to...
- Box I contains 30 cards numbered 1 to 30 and Box II contains 20 cards numbered 31 to 50. A box is selected at random and a card...
- A dice is thrown two times and the sum of the scores appearing on the dice is observed to be a multiple of 4. Then the...
- There are three bags X, Y and Z. Bag X contains 5 one-rupee coins and 4 five-rupee coins; Bag Y contains 4 one-rupee coins and 5...
- The probability of a man hitting a target is 1 10 . The least number of shots required, so that the probability of his hitting...
- In a game two players A and B take turns in throwing a pair of fair dice starting with player A and total of scores on the two...
- Four fair dice are thrown independently 27 times. Then the expected number of times, at least two dice show up a three or a five,...
- In a bombing attack, there is 50% chance that a bomb will hit the target. At least two independent hits are required to destroy...
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