$A$ bag $x$ contains $3$ white balls and $2$ black balls and another bag $y$ contains $2$ white balls and $4$ black balls. $A$ bag and a ball out of it are picked at random. The probability that the ball is white,is

If $P(A) = 2/3$,$P(B) = 1/2$ and $P(A \cup B) = 5/6$,then events $A$ and $B$ are

One bag contains $5$ white and $3$ black balls and a second bag contains $2$ white and $4$ black balls. One ball is drawn from the first bag and placed unseen in the second bag. What is the probability that a ball now drawn from the second bag is black?

If out of $20$ consecutive whole numbers two are chosen at random,then the probability that their sum is odd,is

$A$ biased die is tossed and the respective probabilities for various faces to turn up are given below:

$Face$	$1, 2, 3, 4, 5, 6$
$Probability$	$0.1, 0.24, 0.19, 0.18, 0.15, 0.14$

If an even face has turned up,then the probability that it is face $2$ or face $4$ is:

$A$ can hit a target $4$ times in $5$ shots,$B$ can hit a target $3$ times in $4$ shots,and $C$ can hit a target $2$ times in $3$ shots. All three fire a shot each. What is the probability that at least two shots hit the target?