Question: Problem (3. America's favorite binary tree (SOLO)) 64 teams compete in a single-elimination basketball tournament. If you don't know what single-elimination tournament means, please

Problem (3. America's favorite binary tree (SOLO)) 64 teams compete in a

Problem (3. America's favorite binary tree (SOLO)) 64 teams compete in a single-elimination basketball tournament. If you don't know what "single-elimination tournament means, please look it up on the internet. You are in a betting pool, wherein you need to pick the winners of each. of the 63 games before the tournament begins. You get 32 points for picking the overall winner correctly, 16 points for each correctly-picked finalist, ...etc..., and 1 point for each first-round game picked correctly. Since you know absolutely nothing about basketball, you make all your picks by tossing a fair coin. What is the expected number of points you'll get? (Proof required, of course.)

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