$A$ card is selected from a pack of $52$ cards. Calculate the probability that the card is an ace of spades.

Check whether the following probabilities $P(A)$ and $P(B)$ are consistently defined: $P(A) = 0.5$,$P(B) = 0.7$,$P(A \cap B) = 0.6$.

An experiment consists of recording the boy-girl composition of families with $2$ children. What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births?

When two dice are rolled,what is the probability that the sum of the numbers on the faces is a multiple of $4$?

Two fair dice are rolled. The probability of the sum of digits on their faces being greater than or equal to $10$ is

If $A$ and $B$ are two events such that $P(A \cup B) = P(A \cap B)$,then the incorrect statement amongst the following statements is