A bag contains $3$ white and $2$ black balls and another bag contains $2$ white and $4 $ black balls. A ball is picked up randomly. The probability of its being black 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 $\leq 5$

Describe the events $A \cap B^{\prime} \cap C^{\prime}$

The number $1,\,2,\,3$ and $4$ are written separately on four slips of paper. The slips are put in a box and mixed thoroughly, A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment.

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.

If a coin be tossed $n$ times then probability that the head comes odd times is

Three coins are tossed. Describe Two events, which are not mutually exclusive.