Suppose your agency serves 100 clients, and 40 of them are African Americans.The probability of selecting two African Americans on your first two random picks would be:
A).16.
B).20
C).40 times 39/99
D).80

Question

Quizplus · Accepted Answer

The probability of selecting the first African American is 40/100 = 2/5.
After selecting one African American, there are now 39 African Americans left out of 99 total clients remaining. Therefore, the probability of selecting a second African American is 39/99.
To calculate the probability of both events occurring together, we need to multiply these probabilities: (2/5) x (39/99) = 78/495 = 40/255. Therefore, the correct choice is C.

Suppose Your Agency Serves 100 Clients, and 40 of Them