A bag contains $3$ white, $3$ black and $2$ red balls. One by one three balls are drawn without replacing them. The probability that the third ball is red, is
$\frac{1}{2}$
$\frac{1}{3}$
$\frac{2}{3}$
$\frac{1}{4}$
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 two balanced dice are tossed once, the probability of the event, that the sum of the integers coming on the upper sides of the two dice is $9$, is
A box contains $1$ red and $3$ identical white balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.
Three coins are tossed. Describe Two events, which are not mutually exclusive.
If $\frac{2}{11}$ is the probability of an event, what is the probability of the event $'$ not $A ^{\prime}$.