Two card are drawn successively with replacement from a pack of $52$ cards. The probability of drawing two aces is

$A$ and $B$ are two independent events such that $P(A) = \frac{1}{2}$ and $P(B) = \frac{1}{3}$. Then $P$ (neither $A$ nor $B$) is equal to

Two dice are thrown. The events $A,\, B$ and $C$ are as follows:

$A:$ getting an even number on the first die.

$B:$ getting an odd number on the first die.

$C:$ getting the sum of the numbers on the dice $\leq 5$

State true or false $:$ (give reason for your answer)

Statement : $A$ and $B^{\prime }$ are mutually exclusive

A die is thrown, find the probability of following events: A number less than or equal to one will appear,

One card is drawn from a well shuffled deck of $52$ cards. If each outcome is equally likely, calculate the probability that the card will be not a black card.

A number is chosen from first $100$ natural numbers. The probability that the number is even or divisible by $5$, is