One die and a coin (both unbiased) are tossed simultaneously. The probability of getting $5$ on the top of the die and tail on the coin is

The probabilities of two persons to hit a target are $\frac{1}{4}$ and $\frac{1}{5}$ respectively. The probability that the target is being hit when both of them attempt independently is

Three persons work independently on a problem. If the respective probabilities that they will solve it are $\frac{1}{3}$,$\frac{1}{4}$,and $\frac{1}{5}$,then the probability that none of them can solve it is:

$A$ 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.....

When three coins are tossed simultaneously,what is the probability of getting a head on the first,a tail on the second,and a head on the third?

In a single throw of two dice,the probability of getting a sum of more than $7$ is