Out of $13$ applicants for a job,$5$ are women and $8$ are men. Two persons are to be selected for the job. What is the probability that at least one woman is selected?

From out of $100$ enrolled students,two sections of strength $40$ and $60$ are formed. If you and your friend are among those $100$ students,then the probability that both of you are placed in the same section is

$4$ boys and $2$ girls occupy seats in a row at random. The probability that the two girls occupy seats side by side is:

$A$ bag contains $5$ white and $3$ black balls. If two balls are drawn at random,what is the probability that one ball is white and the other is black?

If two numbers are chosen at random from $1, 2, 3, \dots, 100$ and multiplied,what is the probability that the product is divisible by $3$?

An urn contains $6$ yellow balls and $x$ black balls. When two balls are drawn at random,the probability that both are yellow is $\frac{5}{26}$,then the value of $x$ is