1. Rolling two D20 Consider what hapens when we roll two 20-sided dice d1 and d2...

1. Rolling two D20

Consider what hapens when we roll two 20-sided dice d1 and d2 (so the sample space is S={(d1,d2):d1,d2∈{1,2,3,…,20}} and Pr(ω)=1/|S| for each ω∈S). Consider the following events:

A is the event "d1=13"
B is the event "d1+d2=15"
C is the event "d1+d2=21"

Use the definitions of independence and conditional probability to answer these two questions:

Are the events A and B independent?
Are the events A and C independent?

Expert Solution

Colby Messinger answered 2 years ago

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