SOLUTION: Keith�s Florists has 17 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 17 trucks, 7 have brake problems.

Question 999098: Keith�s Florists has 17 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 17 trucks, 7 have brake problems. A sample of 5 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes? (Round your answer to 4 decimal places.)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Probability 2 have bad brakes
It can be the first and second or any other combination of two out of 5. There are 10 such combinations.
The probability of the first and second is (7/17)(6/16)(10/15)(9/14)(8/13)
One does not have to compute each of the 10. They will all have the same denominator and the same numbers will be in the numerator, just not in the same order.
Numerator is 30240, and it occurs 10 times.
Denominator is 742560
302400/742560 = 0.4072
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