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Chapter 3: Q 3.4 (page 97)

What is the probability that at least one of a pair of fair dice lands on 6, given the sum of the dice ii,i=2,3,...,12 ?

Short Answer

Expert verified

P(A∣E7)=0.33P(A∣E8)=0.40P(A∣E9)=0.50P(A∣E10)=0.67P(A∣E11)=1P(A∣E12)=1

Step by step solution

01

Given Information

Two dice are rolled.

The Sum of numbers on dice is 2 to 12.

02

Calculation

The sample space when you roll two dice is given below:

As it is required to find the probability that one dice out of two must showed up 6, means the sum on two dice must be greater than equal to 7. Therefore, probabilities that at least one of two dice showed up 6and sum is equal to (2,3,4,5,6)is equal to 0.

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