A fair six-sided die is rolled five times. Find the chance of the event: Exactly one...

Question

Question

A fair six-sided die is rolled five times. Find the chance of the event: Exactly one roll is a six.

math Statistics-And-Probability

Answer 1

Answer #1

Probability of rolling a six = 1/6

Let X be the number of outcome as 6 in 5 rolls. Then X ~ Binomial(n = 5, p = 1/6)

Probability of exactly one roll is a six = P(X = 1) = ⁵C₁ * (1/6)¹ * (1 - 1/6)^5-1

= 5 * (1/6) * (5/6)⁴

= 0.4018776

Answer 2

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