SOLUTION: Suppose we flip 2 coins. Our first coin is a fair coin, and we're going to denote the outcome by X1. The chance of X1 coming up heads is half. But now we branch into picking a coin
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-> SOLUTION: Suppose we flip 2 coins. Our first coin is a fair coin, and we're going to denote the outcome by X1. The chance of X1 coming up heads is half. But now we branch into picking a coin
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Question 727951: Suppose we flip 2 coins. Our first coin is a fair coin, and we're going to denote the outcome by X1. The chance of X1 coming up heads is half. But now we branch into picking a coin based on the first outcome. So if the first outcome was heads, we pick a coin whose probability of coming up heads is going to be 0.9. (In other words, this is by conditional probability, probability of the second coin flip coming up heads provided that or given that X1, the first coin flip, was heads, is 0.9). The first coin flip might also come up tails, in which case a very different coin is picked up. In this case a coin with 0.8 probability of tail is picked up. What's the probability of the second coin flip coming up Tails? Answer by lynnlo(4176) (Show Source):
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