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A fair die is continually rolled until an even number has appeared on 10 distinct rolls....

A fair die is continually rolled until an even number has appeared on 10 distinct rolls. Let Xi denote the number of rolls that land on side i. Determine

(a) E[X1]

(b) E[X2]

(c) the probability mass function of X1

(d) the probability mass function of X2

Same Questions are on Q&A but I want to know why X1 is geometric. I know that geometric distribution means that the number of trials for first success.

Thanks

Math   Statistics-And-Probability   
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