Question: 6. There are two fair coins on a table. The first coin is flipped successively and independently until a heads appears. Then the second coin

6. There are two fair coins on a table. The first coin is flipped successively and independently until a heads appears. Then the second coin is flipped repeatedly and independently until a heads appears. Let X be the number of flips until the first coin lands heads, and let Y be the number of flips until the second coin lands heads. Find P(X = Y ).

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