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.
