The probability of getting the number $5$ when throwing a fair die is:

$A$ problem in statistics is given to three students $A, B$ and $C$. Their probabilities of solving the problem are $\frac{1}{2}, \frac{1}{3}$ and $\frac{1}{4}$ respectively. If all of them try independently,then the probability that the problem is solved is

The probability that a non-leap year selected at random will have $53$ Sundays is

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

What is the probability of getting a doublet when two dice are thrown?

Three randomly chosen non-negative integers $x, y$ and $z$ are found to satisfy the equation $x+y+z=10$. Then the probability that $z$ is even,is