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

From a pack of $52$ cards two are drawn with replacement. The probability, that the first is a diamond and the second is a king, is

A card is selected from a pack of $52$ cards. Calculate the probability that the card is an ace of spades.

A box contains $10$ good articles and $6$ with defects. One article is chosen at random. What is the probability that it is either good or has a defect

An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events:

$A:$ the sum is greater than $8$,

$B : 2$ occurs on either die

$C:$ the sum is at least $ 7$ and a multiple of $3.$

Which pairs of these events are mutually exclusive ?

A man and his wife appear for an interview for two posts. The probability of the husband's selection is $\frac{1}{7}$ and that of the wife's selection is $\frac{1}{5}$. What is the probability that only one of them will be selected