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.