The probability of an event $A$ occurring is $0.5$ and that of $B$ is $0.3$. If $A$ and $B$ are mutually exclusive events,find the probability that neither $A$ nor $B$ occurs.

Two dice are thrown together. The probability that the sum of the two numbers will be a multiple of $4$ is

Two dice are thrown. Find the probability of getting an even number as the sum.

Two cards are drawn without replacement from a well-shuffled pack. Find the probability that one of them is an ace of heart.

An anti-aircraft gun can take a maximum of $4$ shots at an enemy plane moving away from it. The probabilities of hitting the plane at the first,second,third,and fourth shots are $0.4, 0.3, 0.2,$ and $0.1,$ respectively. What is the probability that the gun hits the plane?

$A$ 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: