Question

Six Hatfields and two McCoys are up for 3 construction jobs in Williamson. What is the probability that all 3 jobs go to Hatfields? Answer in decimal form. Round to 3 decimal places as needed. Your Answer:

Answer 1

Answer: 0.357

Explanation:

Given : The number of Hatfield = 6

The number of McCoys = 2

The number of companies = 8

The number of construction jobs -3

Now, the required probability is given by :-

`(^6C_3*^2C_0)/(^8C_3)\\\\=((6!)/(3!(6-3)!))/((8!)/(3!(8-3)!))=0.357142857143\approx0.357`

Hence, the probability that all 3 jobs go to Hatfields =0.357