A subcommittee is randomly selected from a committee of eight men and seven women. What is the probability that all three people

Question

3 years ago

15

on the subcommittee are men

1 answer:

ser-zykov [4K] · Answer 1 · 2022-02-17T04:21:51+03:00

Answer:

The probability that all three people on the subcommittee are men

= 20%

Step-by-step explanation:

Number of members in the committee = 15

= 8 men + 7 women

The probability of selecting a man in the committee

= 8/15

= 53%

The probability of selecting three men from eight men

= 3/8

= 37.5%

The probability that all three people on the subcommittee are men

= probability of selecting a man multiplied by the probability of selecting three men from eight men

= 53% x 37.5%

= 19.875%

= 20% approx.

This is the same as:

The probability of selecting 3 men from the 15 member-committee

= 3/15

= 20%