One card is drawn from each of two ordinary packs of $52$ cards. The probability that at least one of them is an ace of heart, is

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 $\leq 5$

Describe the events  $A$ but not $C$

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

Let $A$ be a set of all $4 -$digit natural numbers whose exactly one digit is $7 .$ Then the probability that a randomly chosen element of  $A$ leaves remainder $2$ when divided by $5$ is ….. .

An integer is chosen at random and squared. The probability that the last digit of the square is $1$ or $5$ is