SOLUTION: Four employees drive to work in the same car. The workers claim they were late to work because of a flat tire. Their managers ask the workers to identify the tire that went flat; f

Algebra ->  Probability-and-statistics -> SOLUTION: Four employees drive to work in the same car. The workers claim they were late to work because of a flat tire. Their managers ask the workers to identify the tire that went flat; f      Log On


   

Question 1129069: Four employees drive to work in the same car. The workers claim they were late to work because of a flat tire. Their managers ask the workers to identify the tire that went flat; front driver's side, front passenger's side, rear driver's side, or rear passenger's side. If the workers didn't really have a flat tire and each randomly selects a tire, what is the probability that all four workers select the same tire?
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
it is 1/4 for each worker, and if independence is assumed, the probability is (1/4)^4=1/256.

Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
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The correct answer is  C%5B4%5D%5E1%2A%281%2F4%29%5E4 = 4%2A%281%2F4%29%5E4 = %281%2F4%29%5E3 = 1%2F64.