Probability PYQs - Last 10 Years

A four digit number is formed with digits $1,3,4$, 5 with no repetition. What is the probability that the number is divisible by 5 ?

In a binomial distribution, the mean is 10 and the variance is 6 . Then, its median is

What is the probability of getting a sum of 9 in a single throw of three fair dice?

The probability of getting 10 in a single throw of three fair dice is

In a binomial distribution, the mean is 4 and variance is 3 . Then, its mode is

A six faced die is a biased once. It is thrice more likely to show an odd number, then show an even number. It is thrown twice. The probability that the sum of the number in two throws is odd, is

A six faced die is a biased one. It is thrice more likely to show an odd numbers than show an even number. It is thrown twice. The probability that the sum of the numbers in two throws is even, is

Box I contains 5 red and 2 blue balls, while box II contains 2 red and 6 blue balls. A fair coin is tossed. If it turns up head, a ball is drawn from box I, else a ball is drawn from box II. The probability ball drawn is from box I, if it i...

If A and B are two independent events such that \(P(A) = {1 \over 2}\) and \(P(B) = {1 \over 5}\), then which of the following is correct?

Two cards are drawn from a pack of 52 cards. What is the probability that either both are red or both are kings?