Question

A 12-member jury is to be selected from 15 men and 13 women. Find the probability that this jury has 6 or 7 males.

Answer 1

Answer:

The right solution is "0.5545".

Step-by-step explanation:

According to the question,

The probability of having 6 or 7 males will be:

= $P(6 \ males)+ P(7 \ males)$

= $\frac{15_C_6\times 13_C_6}{28_C_{12}} + \frac{15_C_7\times 13_C_5}{28_C_{12}}$

= $\frac{5005\times 1716+6435\times 1287}{30421755}$

= $\frac{16870425}{30421755}$

= $0.5545$