Describe the sample space for the indicated experiment: $A$ coin is tossed three times.

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

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

Thirty-two persons $X_1, X_2, \ldots, X_{32}$ are randomly seated around a circular table at equal intervals. Two persons $X_i$ and $X_j$ are said to be within earshot of each other if there are at most three persons between them on the minor arc joining $X_i$ and $X_j$. The probability that $X_1$ and $X_3$ are within earshot of each other is:

If three students $A, B, C$ independently solve a problem with probabilities $\frac{1}{3}, \frac{1}{4}$ and $\frac{1}{5}$ respectively,then the probability that the problem will be solved is

The probability of choosing a vowel from the letters of the word $PROBABILITY$ is ........