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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).