SOLUTION: A carton contains 24 light bulbs, 5 of which are defective. What is the probability that, if a sample of 8 is chosen at random from the carton of bulbs, 1 will be defective?

Question 1081019: A carton contains 24 light bulbs, 5 of which are defective. What is the probability that, if a sample of 8 is chosen at random from the carton of bulbs, 1 will be defective?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
From a sample of 8, there are 24C8 possibilities.
5C1*19C7 is the numerator. The probability is 251940/735471=0.3426
One way to look at this is take 1 of the 8 samples
5/24*19/23*18/22*17/21*16/20*15/19*14/18*13/17. This is multiplied by 8, the ways it could happen, and would move the numerator around but wouldn't change the denominator. This quotient is the same.
5*19*18*17*16*15*14*13/7! all divided by 24*23*22*21*20*19*18*17/8!, and that gives the same answer.

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