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

Two integers are selected at random from the set $\{1, 2, …, 11\}.$ Given that the sum of selected numbers is even, the conditional probability that both the numbers are even is

Two friends $A$ and $B$ have equal number of daughters. There are three cinema tickets which are to be distributed among the daughters of $A$ and $B$. The probability that all the tickets go to daughters of $A$ is $1/20$. The number of daughters each of them have is

A dice is rolled three times, find the probability of getting a larger number than the previous number each time ?

A purse contains $4$ copper coins $\& \, 3$ silver coins, the second purse contains $6$ copper coins $\& \,2$ silver coins. If a coin is drawn out of one of these purses, then the probability that it is a copper coin is :-

A bag contains twelve pairs of socks and four socks are picked up at random. The probability that there is at least one pair is equal to