Two dice are rolled simultaneously. The probability that the sum of the two numbers on the dice is a prime number is:

Two fair dice are rolled. The probability of the sum of digits on their faces being greater than or equal to $10$ is

The probability that Ajay will not appear in the $JEE$ exam is $p = \frac{2}{7}$,while the probability that both Ajay and Vijay will appear in the exam is $q = \frac{1}{5}$. Then the probability that Ajay will appear in the exam and Vijay will not appear is:

Suppose $A$ and $B$ are two events such that $P(A \cap B) = \frac{3}{25}$ and $P(B - A) = \frac{8}{25}$. Then, $P(B)$ is equal to

In a competition,$A, B$,and $C$ are participating. The probability that $A$ wins is twice that of $B$,and the probability that $B$ wins is twice that of $C$. Then,the probability that $A$ loses is:

When two dice are thrown,what is the probability of getting a sum of $7$ (in $/36$)?