Question

Assume that 10 people, including the husband and wife pair, apply for 4 sales positions. People are hired at random.. . What is the probability that one is hired and one is not?

Answer 1

Possible outcomes: 10C4 = 210  ( combinations - we choose 4 of 10 people )
Favorable outcomes: ( 2C1 ) · ( 8C3 ) =  2 · 56 = 112
Probability : 112 / 210 = 0.5333  ( or 53.33 % ).