Probability questions
692 published questions with worked solutions.
- Three boys and two girls stand in a queue. The probability, that the number of boys ahead of every girl is at least one more than...
- The minimum number of times a fair coin needs to be tossed, so that the probability of getting at least two heads is at least...
- A computer producing factory has only two plants T_1 and T_2. Plant T_1 produces 20% and plant T_2 produces 80% of the total...
- Let X and Y be two events such that P(X)= 1 3 , P(X|Y)= 1 2 and P(Y|X)= 2 5 . Then
- Three randomly chosen nonnegative integers x, y and z are found to satisfy the equation x+y+z=10. Then the probability that z is...
- There are three bags B_1, B_2 and B_3. The bag B_1 contains 5 red and 5 green balls, B_2 contains 3 red and 5 green balls, and...
- Let S be the sample space of all 3 3 matrices with entries from the set 0,1 . Let the events E_1 and E_2 be given by E_1= A S:...
- Let |X| denote the number of elements in a set X. Let S= 1,2,3,4,5,6 be a sample space, where each element is equally likely to...
- Five persons A, B, C, D and E are in queue of a shop. The probability that A and E are always together, is
- A four-digit number is formed by the digits 1, 2, 3, 4 with no repetition. The probability that the number is odd, is
- If the integers m and n are chosen at random from 1 to 100, then the probability that a number of the form 7^n + 7^m is divisible...
- One mapping (function) is selected at random from all the mappings of the set A = 1, 2, 3, , n into itself. The probability that...
- Ram is visiting a friend. Ram knows that his friend has 2 children and 1 of them is a boy. Assuming that a child is equally...
- Three of the six vertices of a regular hexagon are chosen at random, The probability that the triangle with three vertices is...
- A six-faced unbiased die is thrown twice and the sum of the numbers appearing on the upper face is observed to be 7. The...
- If n integers taken at random are multiplied together, then the probability that the last digit of the product is 1, 3, 7 or 9, is
- Four fair dice D_1, D_2, D_3 and D_4 each having six faces numbered 1, 2, 3, 4, 5 and 6 are rolled, simultaneously. The...
- An urn contains 8 red and 5 white balls. Three balls are drawn at random. Then, the probability that balls of both colours are...
- A card is drawn from a well shuffled pack of playing cards. The probability that it is a king of a heart, is
- A fair coin is tossed 100 times. The probability of getting tails an odd number of time is
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