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Die question: We toss a fair 6-sided die until exactly 5 spots appear on the top...

Die question:

We toss a fair 6-sided die until exactly 5 spots appear on the top of the die.

a) Referring to Die, what is the probability that we first obtain 5 spots atop the die on the third toss?

b) Referring to Die, what is the expected number of tosses until the first 5 appears on top of the die?

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