In a single throw of $3$ dice,find the probability of getting a total of at most $5$.

Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle formed by these three vertices is equilateral is:

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

$A$ Chartered Accountant applies for a job in $2$ firms $X$ and $Y$. The probability of his being selected in firm $X$ is $0.7$,and being rejected at $Y$ is $0.5$,and the probability of at least $1$ of his applications being rejected is $0.6$. What is the probability that he will be selected in $1$ of the firms?

Out of $13$ applicants for a job,there are $5$ women and $8$ men. It is desired to select $2$ persons for the job. The probability that at least one of the selected persons will be a woman is

$A$ bag contains $3$ white,$3$ black,and $2$ red balls. Three balls are drawn one by one without replacement. The probability that the third ball is red is: