If $A$ and $B$ are events such that $P(A \cup B) = 3/4,$ $P(A \cap B) = 1/4,$ and $P(\bar{A}) = 2/3,$ then $P(\bar{A} \cap B)$ is

Two dice are rolled one after the other. The probability that the number on the first die is smaller than the number on the second die is:

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:

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

The probability of getting a number greater than $2$ in throwing a die is

$A$ family with three children is chosen at random. The probability that the oldest and youngest children are of the same gender is