Hey Siri Council consist of eight Democrats and five Republicans if a committee of five people are selected find the probability

Question

3 years ago

10

of selecting two Democrat and three Republicans

1 answer:

Flura [38] · Answer 1 · 2022-05-10T06:51:23+03:00

Answer:

55/2574 ≈ 2.18%

Step-by-step explanation:

There are a total of 13 people on the council.

The probability that the first person is a Democrat is 8/13.

The probability that the second person is a Democrat is 7/12.

The probability that the third person is a Republican is 5/11.

The probability that the fourth person is a Republican is 4/10.

The probability that the fifth person is a Republican is 3/9.

The total probability is:

P = (8/13) (7/12) (5/11) (4/10) (3/9)

P = 56/2574

P ≈ 0.0218

There is a 2.18% probability of selecting two Democrats and three Republicans.