Question

19) Suppose that there are 55 Democrats and 45 Republicans in the US Senate. A committee of seven senators is to be formed by selecting members of the Senate randomly. a) What is the probability that the committee is composed of all Democrats?

Answer 1

Probability = 0.12676992

Explanation:

The probability of selecting committee of seven composed of all Democrats.

Total number = 45+55= 100

Number of Democrats = 55

Number of committee = 7

Probability= (55C7)/(100/7)

Where C represent combination sign

Probability = (202927725/1.60075608*10^10)

Probability = 0.12676992