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

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Advance Math

1. Rolling two D20

Consider what hapens when we roll two 20-sided dice d1and d2 (so the sample space isS={(d1,d2):d1,d2?{1,2,3,…,20}}and Pr(?)=1/|S| for each??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 probabilityto answer these two questions:

  1. Are the events A and B independent?
  2. Are the events A and C independent?

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