The probability of getting a total of $5$ or $6$ in a single throw of $2$ dice is

Out of $60 \%$ female and $40 \%$ male candidates appearing in an exam, $60\%$ candidates qualify it. The number of females qualifying the exam is twice the number of males qualifying it. A candidate is randomly chosen from the qualified candidates. The probability, that the chosen candidate is a female, is.

There are four men and six women on the city council. If one council member is selected for a committee at random, how likely is it that it is a woman?

Three coins are tossed once. Find the probability of getting $2$ heads

The probability of getting number $5$ in throwing a dice 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 $\leq 5$

State true or false $:$ (give reason for your answer)

Statement : $A$ and $B^{\prime }$ are mutually exclusive