Question: 5. [4] The probability of getting that sample S = {H, H, T, T, H, H} would be greater if the coin wasn't fair,

5. [4] The probability of getting that sample S = {H, H,

5. [4] The probability of getting that sample S = {H, H, T, T, H, H} would be greater if the coin wasn't fair, that is, the probability of getting heads (H), (P[x = H]) was not 0.5, but some other value. What is the value of P[x = H] that maximizes the probability of the same S? Justify or show a proof for your answer.

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