Affirmative action commitments by industrial organizations have led to an increase in the number of women in executive positions. Satellite Office Systems has vacancies for two executives that it will fill from among four women and six men. What is the probability that exactly one woman is selected?
A) 8/15 = 0.533
B) 3/5 = 0.60
C) 2/3 = 0.667
D) 3/4 = 0.75

Question

Quizplus · Accepted Answer

The probability of selecting exactly one woman out of two positions when choosing from four women and six men involves calculating the combinations of selecting one woman out of four and one man out of six, then dividing by the total combinations of selecting any two people out of ten. This is calculated as [(4C1 * 6C1) / 10C2] = (4*6) / (45) = 24/45 = 8/15.

Affirmative Action Commitments by Industrial Organizations Have Led to an Increase