Lance there a die six times. His median score was 3.5. His first five throws were 1,5,3,5,1. What was his sixth throw?
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Answer:
The probability of 6 on one roll =1/6
The probability of 6 on 3 rolls =(1/6)^3
The probability of not 6 on one roll =5/6
The probability of not 6 on 2 rolls =(5/6)^2
ways of selecting 3 from 5 = 5*4/2 =10
So
The probability of exactly 6 on 5 rolls =10*(1/6)^3*(5/6)^2 =0.03215
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