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An unbiased normal coin is tossed n time...

An unbiased normal coin is tossed `n` times. Let `E_1:` event that both heads and tails are present `n` tosses. `E_2:` event that the coin shows up heads at most once. The value of `n` for which `E_1a n dE_2` are independent is _________.

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To solve the problem, we need to find the value of \( n \) for which the events \( E_1 \) and \( E_2 \) are independent. ### Step 1: Define the Events - \( E_1 \): Event that both heads and tails are present in \( n \) tosses. - \( E_2 \): Event that the coin shows up heads at most once. ### Step 2: Calculate \( P(E_1) \) To find \( P(E_1) \), we can use the complement: ...
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