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To solve the problem of calculating the expected value of the product of the number of heads and tails when a coin is flipped 100 times, we need to delve into the properties of the binomial distribution. Let's break it down step-by-step:
The expected value of the product of the number of heads and tails in 100 coin flips is 2475, with a 95% confidence interval approximately between 2465.25 and 2484.75. This reflects the variability and normal approximation of the binomial distribution at this scale.