SOLUTION: A technician is launching fireworks near the end of the show. Of the remaining fourteen fireworks, nine are blue and five are red. If she launches six of them in a random order, wh

Question 1187651: A technician is launching fireworks near the end of the show. Of the remaining fourteen fireworks, nine are blue and five are red. If she launches six of them in a random order, what is the probability that exactly four of them are blue ones?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
14C6 are total choices, denominator.
Numerator is 9C4*5C2
quotient is 0.4196
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look at first 4 blue
(9/14)(8/13)(7/12)(6/11)(5/10)(4/9)=0.02797
but there are 15 (6C2) ways this can happen, so the above is multiplied by 15 to get the same answer above.
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