$A$ card is drawn from a well-shuffled deck of $52$ cards. Find the probability of drawing a face card.

An urn contains $25$ balls numbered $1$ to $25$. Suppose an odd number is considered a 'success'. $2$ balls are drawn from the urn with replacement. Find the probability of getting $3$ successes.

$2$ dice are thrown. Find the probability of getting $6$ as the product.

One bag contains $4$ white balls and $2$ black balls; another contains $3$ white balls and $5$ black balls. If one ball is drawn from each bag,find the probability that both are white.

Six boys and six girls sit in a row. What is the probability that the boys and girls sit alternatively?

From $80$ cards numbered $1$ to $80$, two cards are selected randomly. The probability that both the cards have numbers divisible by $4$ is given by