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a fair die is rolled four times. what is the probability of obtaining a 5, 3, 5, and 5, in that order?P(a 5,3,5 and 5 in that order)=


a fair die is rolled four times. what is the probability of obtaining a 5, 3, 5, and 5, in that order?

P(a 5,3,5 and 5 in that order)= 

Step 1

A fair die being rolled four times is equivalent to four independent dice being rolled simultaneously. The essential point is the independence of the outcomes obtaining in each die. The numbers (and the order) 5,3,5,5 play no role in this problem, as any of the outcomes {1,2,3,4,5,6} is equally likely in the roll of one (fair) die. 

Step 2

So the required probability is obtained by mu...


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