Question: We (simultaneously) roll two fair dice repeatedly until we get the sum of 7. The outcome of this experiment is the number of rolls. a)

We (simultaneously) roll two fair dice repeatedly until we get the sum of 7. The outcome of this experiment is the number of rolls.

a) What is the probability of rolling the sum of 7 in a single (two dice) roll?

b) Describe the probability space and probability measure for the entire experiment

c) Calculate the probability that the sum of 7 never appears

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