In a single throw of $2$ dice,find the probability of getting a total of $12$.

Among $15$ players,$8$ are batsmen and $7$ are bowlers. Find the probability that a team is chosen of $6$ batsmen and $5$ bowlers.

Fifteen persons,including $A$ and $B$,sit down at random at a round table. The probability that there are $4$ persons between $A$ and $B$ is

$A$ box contains $36$ tickets numbered $1$ to $36$. One ticket is drawn at random. Find the probability that the number on the ticket is either divisible by $3$ or is a perfect square.

Find the probability that in a random arrangement of letters of the word $'UNIVERSITY'$, two $I$s do not come together.

You are given the digits $2, 3, 4, 6,$ and $7$. In how many ways can you form a $3$-digit number without repetition of digits that is odd and greater than $300$?