18. Coin 1 comes up heads with probability 0.6 and coin 2 with probability 0.5. A coin...

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18. Coin 1 comes up heads with probability 0.6 and coin 2 with probability 0.5. A coin is continually flipped until it comes up tails, at which time that coin is put aside and we start flipping the other one.

(a) What proportion of flips use coin 1?

(b) If we start the process with coin 1 what is the probability that coin 2 is used on the fifth flip?

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