List of top Mathematics Questions on Conditional Probability asked in AIEEE

Three numbers are chosen at random without replacement from $\{1, 2, 3, ..., 8\}$. The probability that their minimum is $3$, given that their maximum is $6$ is :

One ticket is selected at random from $50$ tickets numbered $00, 01, 02, ??, 49$. Then the probability that the sum of the digits on the selected ticket is $8$, given that the product of these digits is zero, equals

In a binomial distribution $B\left(n. p=\frac{1}{4}\right)$, if the probability of at least one success is greater than or equal to $\frac{9}{10}$, then n is greater than

A pair of fair dice is thrown independently three times. The probability of getting a score of exactly $9$ twice is

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house, is: