If $A$ and $B$ are events having probabilities $P(A)=0.6$, $P(B)=0.4$, and $P(A \cap B)=0$, then the probability that neither $A$ nor $B$ occurs is

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

$A$ card is drawn at random from a well-shuffled pack of $52$ cards. The probability that it is a black card or a face card is

If $A$ and $B$ are mutually exclusive events with $P(A)=\frac{1}{4}$ and $P(B)=\frac{3}{7}$,then what is the value of $P(A / A \cup B)$?

Three students $A, B,$ and $C$ are given a mathematics problem. The probabilities of them solving the problem are $1/2, 1/3,$ and $1/4$ respectively. What is the probability that the problem is solved?

The probability that Ajay will not appear in the $JEE$ exam is $p = \frac{2}{7}$,while the probability that both Ajay and Vijay will appear in the exam is $q = \frac{1}{5}$. Then the probability that Ajay will appear in the exam and Vijay will not appear is: