What is the probability that a fair six-sided die rolled five times comes up 6 exactly...

Question

Question

What is the probability that a fair six-sided die rolled five times comes up 6 exactly once?

Answer 1

Answer #1

X ~ Bin(n,p)

Where n = 5 , p = 1/6

Let X be event of rolling up 6.

P(X) = ⁿCx p^x (1 - p)^n-x

So,

P(X = 1) = ⁵C₁ * ( 1/6)¹ * ( 1 - 1/6)⁵

= 0.4019

Answer 2

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