SOLUTION: Rolling a Die A single die is rolled 4 times. Find the probability of getting at least one 5.

Question 1209162: Rolling a Die A single die is rolled 4 times. Find the probability of getting at least one 5.
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
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Rolling a Die A single die is rolled 4 times. Find the probability of getting at least one 5.
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Let's consider the complementary event: in rolling a fair die 4 times the outcome is not 5
in all 4 rolling.


In every separate rolling, there are 6 possible outcomes with the probability  for each.
The probability that in single rolling the outcome will not be 5 is .
The probability that in 4 rolling, the outcome will not be 5 is  .


The probability getting at least one 5 in 4 rolling is the complement to it


    P =  = 0.517747  (rounded).

Solved.

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