Two dice are rolled. Then,the probability that the total score is a prime number is

The probability of choosing randomly a number $c$ from the set $\{1, 2, 3, \ldots, 9\}$ such that the quadratic equation $x^2 + 4x + c = 0$ has real roots is

$A$ bag contains $3$ red and $3$ white balls. If two balls are drawn one after another,what is the probability that they are of different colors?

$A$ fair die is thrown at random. Let $A$ be the event that the number obtained on the die is a non-even prime number and $B$ be the event that the number obtained on the die is an odd number. Let $p : P(A) = \frac{1}{3}$; $q : A$ and $B$ are independent events. Then the truth values of statements $p$ and $q$ respectively are.....

Two students,Anil and Ashima,appeared in an examination. The probability that Anil will qualify the examination is $0.05$ and that Ashima will qualify the examination is $0.10$. The probability that both will qualify the examination is $0.02$. Find the probability that at least one of them will not qualify the examination.

When three identical dice are thrown,what is the probability of getting the same number on each of them?