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A fair, six-sided die is rolled ten times. Each roll is independent. You want to find the probability of rolling a one more than three times. State the probability question mathematically.

Short Answer

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The probability question is stated mathematically as to findP(X>3)

Step by step solution

01

Content Introduction

We are given,

A fair, six-sided die is rolled ten times.

Each roll is independent

02

Content Explanation

Here the random variable, X=number of times the fair six-sided die roll the number one out of ten times rolled independently.

Then the assumed values of X=0,1,2,3,....,10.

The probability that the fair six-sided die rolls the number one in one rolling is p=16

The probability that the fair six-sided die does not rolls the number one in one rolling q=56

The number of times of fair six sided die is rolled is n=10

It is to find the probability of rolling a number one on fair six-sided die more than three times.

Therefore, the probability question is stated mathematically as to findP(X>3).

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