If $A$ and $B$ are two independent events such that $P(A) = 0.40$ and $P(B) = 0.50$,find $P(\text{neither } A \text{ nor } B)$.

Two coins and one die are tossed. What is the probability of getting heads on both coins and $3$ or $6$ on the die?

An urn contains $4$ red and $5$ white balls. Two balls are drawn one after the other without replacement,then the probability that both the balls are red is

If $A$ and $B$ are independent events and $P(A)=\frac{2}{3}$ and $P(B)=\frac{3}{5}$,then $P(A^{\prime} \cap B)$ is equal to:

If $A$ and $B$ are independent events and $P(A) = 0.4$,$P(A \cup B) = 0.6$,and $P(B) = p$,then the value of $p$ is . . . . . . .

If $P(A) = \frac{3}{5}$ and $P(B) = \frac{1}{5}$,find $P(A \cap B)$ if $A$ and $B$ are independent events.