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?

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?

anonymous · Answer

The probability is the chance that one event happens times the chance that the other event happens. So it would be 40% for hired and 60% for not hired so the total probability is 24%.
But its been some time since I don't solve this problems so I might have gotten confused.

anonymous · Answer

I tried those, but they don't seem to work

anonymous · Answer

Got it! P = (2C1) * (8C3) / (10C4) =112/210