Question: 1. Problem 15.18 A fair coin is tossed until the last three tosses either show the combination TTH or the combination THH. Here H stands

1. Problem 15.18 A fair coin is tossed until the last three tosses either show the combination TTH or the combination THH. Here H stands for heads and T stands for tails. What is the probability that the combination TTH appears before the combination THH? Can you explain why this probability is larger than 0.5? Also, consider the following game. A fair coin is tossed until heads appears three times in a row. You pay $1 for each toss of the coin, but you get $12.50 as soon as heads has appeared three times in a row. Is this a fair game?

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