BTGmoderatorDC wrote:Ashley and Vinnie work on a sales staff with 8 other salespeople. If five members of the staff will be chosen at random to attend a sales workshop, what is the probability that both Ashley and Vinnie will be chosen?
A. 1/10
B. 3/28
C. 2/9
D. 1/4
E. 1/2
From the 10 people, 5 will be selected.
Thus, P(Ashley is selected) = 5/10.
From the 9 remaining people, 4 will be selected.
Thus, P(Vinnie is selected) = 4/9.
To combine these probabilities, we multiply:
5/10 * 4/9 = 2/9.
The correct answer is
C.
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