Question

An executive committee consists of 1313 ​members: 55 men and 88 women. 44 members are selected at random to attend a meeting in hawaii. the names are drawn from a hat. what is the probability that all 44 selected are womenwomen​?

Answer 1

It is given in the question that

An executive committee consists of 13 ​members: 5 men and 8 women. 4 members are selected at random to attend a meeting in hawaii. the names are drawn from a hat.

And we have find the probability of selecting all 4 women.

Selecting 4 women out of 8 women is

$8C4= 70$

Selecting 4 from a total of 13 persons

$13C4=715$

Required probability

$= \frac{70}{715} = \frac{14}{143}$