Chapter 12, Problem 18PT

To determine

To Calculate :Probability of selecting $3$ male and $2$ female students.

Answer to Problem 18PT

  $\text{0}\text{.3007}$

Explanation of Solution

Given information :

We know that, there are $10$ male and $12$ female students of which $5$ are to be chosen.

Formula Used:

Probability P(E) = $\frac{\text{No}\text{. of favourable outcomes}}{\text{Total possible outcomes}}$

Calculation:

P ( $\text{3}$ male and $\text{2}$ female students)

  $\begin{array}{l}=\frac{{}^{10}{C}_3\times {}^{12}{C}_2}{{}^{22}{C}_5}\\ =\frac{120\times 66}{26334}\\ =0.3007\end{array}$