List of top Mathematics Questions on Probability asked in AMUEEE

A fair die is rolled. Consider the events A = { $ 1, 3, 5 $ }, B = { $ 2, 3 $ } and C = { $ 2, 3, 4, 5 $ }. Then, the conditional probability $ P (A \cup B / C) $ is

Three cards are drawn successively without replacement from a pack of $ 52 $ well shuffled cards. The probability that first two cards are queens and the third card is a king, is

Bag $I$ contains $3$ red and $4$ black balls, while another bag $II$ contains $5$ red and $6$ black balls. One ball is drawn at random from one of the bags and it is found to be black. The probability that it was drawn from bag $II$ is

A fair coin is tossed $ n $ number of times. If the probability of having at least one head is more than 90%, then $ n $ is greater than or equal to