SOLUTION: a box contains 25 transistors 6 of which are defective. if 6 are selected at random find the probability that A) all are defective B) none are defective

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Question 368845: a box contains 25 transistors 6 of which are defective. if 6 are selected at random find the probability that
A) all are defective
B) none are defective

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
There is a careful distinction here. If six are chosen all at once, or are they chosen one at a time...I'll assume they are chosen all six at once...
For A), the probability is (6/25)^6 = (.24)^6 = .019%
For B), the probability is (19/25)^6 = (.76)^6 = 19.3%