SOLUTION: suppose there are five defective egg in shipment of a dozen. if four are randomly chosen what is the probability that exactly two are defective, at least one is defective?

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Question 972268: suppose there are five defective egg in shipment of a dozen. if four are randomly chosen what is the probability that exactly two are defective, at least one is defective?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There are 6 combinations with 2 out of 4 eggs are defective.
P=6%285%2F12%29%5E2%287%2F12%29%5E2
P=1225%2F3456
.
.
.
Work it backwards, find the probability that none are defective.
P%28none%29=%287%2F12%29%5E4
P%28none%29=2401%2F20736
So then,
P=1-P%28none%29
P=20736%2F20736-2401%2F20736
P=18335%2F20736