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A dice is rolled 4 times. What is the probability of showing a 5 on every roll?

User Fidi
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Final answer:

The probability of showing a 5 on every roll of a fair six-sided die is 1/1296 or approximately 0.0007716.

Step-by-step explanation:

In order to find the probability of rolling a 5 on each of the 4 rolls, we need to calculate the probability of rolling a 5 on a single roll and then multiply it by itself 4 times.

The probability of rolling a 5 on a fair six-sided die is 1/6. So, the probability of rolling a 5 on each of the 4 rolls is (1/6) * (1/6) * (1/6) * (1/6) = 1/1296.

Therefore, the probability of showing a 5 on every roll is 1/1296 or approximately 0.0007716.

User Dwaddell
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