Keith’s Florists has 14 delivery trucks, used mainly to deliver flowers and flow
ID: 3380583 • Letter: K
Question
Keith’s Florists has 14 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 14 trucks, 6 have brake problems. A sample of 4 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes? (Round your answer to 4 decimal places.)
Keith’s Florists has 14 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 14 trucks, 6 have brake problems. A sample of 4 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes? (Round your answer to 4 decimal places.)
Explanation / Answer
There are 14C4 ways to choose any four trucks.
There are 8C2 ways to choose two nondefectives, and 6C2 ways to choose two defectives. Thus, there are (8C2)(6C2) ways to do it.
Thus, the probability is
P = [(8C2)(6C2)]/(14C4) = 0.41958042 [ANSWER]