Imagine rolling a fair six-sided die four times. a. What is the theoretical probability that all four rolls of the die show a 5 on top? b. What is the theoretical probability the first roll of the die shows a 2 and the next three rolls show a 5 on top? a. P(all four rolls are 5) = (Type an integer or a simplified fraction.) b. P(first toss is 2 and rest are 5) = (Type an integer or a simplified fraction.)

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