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Five Heads, Five Tails
updated 6 days ago
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If you throw a fair coin 1000 times, what is the expected number of occurrences of 5 heads followed by 5 tails?
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990/2^10 ? I tried using indicator variables. But not sure of the answer. Is there any other way?
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Yeah, this is the simplest solution. Just use linearity of expectation to reduce to 990 times the probability of HHHHHTTTTT. Good job! 🙂
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