From a pack of $52$ cards,two cards are drawn in succession one by one without replacement. The probability that both are aces is

If $A$ and $B$ are two independent events and $P(A)=\frac{3}{5}$ and $P(B)=\frac{2}{3}$,then $P(A' \cap B')=$

In a box of $10$ electric bulbs,two are defective. Two bulbs are selected at random one after the other from the box. The first bulb after selection is put back in the box before making the second selection. The probability that both the bulbs are without defect is

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

The probability that India wins the toss is $3/4$. If it wins the toss,the probability of winning the match is $4/5$,otherwise it is $1/2$. Find the probability that India wins the match.

Bag $B_1$ contains $4$ white and $2$ black balls. Bag $B_2$ contains $3$ white and $4$ black balls. $A$ bag is chosen at random and a ball is drawn from it at random,then the probability that the ball drawn is white,is