Question

You flip a coin until getting heads. Let X be the number of coin flips. a....

You flip a coin until getting heads. Let X be the number of coin flips.

a. What is the probability that you flip the coin at least 8 times?

b. What is the probability that you flip the coin at least 8 times given that the first, third, and fifth flips were all tails?

c. You flip three coins. Let X be the total number of heads. You then roll X standard dice. Let Y be the sum of those dice. What is P(X = 1|Y = 3)?

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