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

Urn $A$ contains $6$ white and $2$ black balls; urn $B$ contains $5$ white and $3$ black balls and urn $C$ contains $4$ white and $4$ black balls. If an urn is chosen at random and a ball is drawn at random from it, then the probability that the ball drawn is white is

$A$ box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good,the box is approved for sale; otherwise,it is rejected. Find the probability that a box containing $15$ oranges,out of which $12$ are good and $3$ are bad,will be approved for sale.

Two events $A$ and $B$ will be independent if

$A$ bag contains $19$ tickets numbered from $1$ to $19$. $A$ ticket is drawn and then another ticket is drawn without replacement. The probability that both the tickets will show an even number 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.