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Consider a game where a fair coin is flipped twice in sequence, but the result is covered up so you cannot observe the outcome of

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Consider a game where a fair coin is flipped twice in sequence, but the result is covered up so you cannot observe the outcome of the two sequences. If "heads" occurs on the final flip of the sequence (regardless of what side was realized on the first flip), you win $5. Otherwise, you lose $4. You have access to a signal that reports only the total number of heads landed across the sequence of two flips and can observe the realization of this signal prior to committing to playing the game. What is the optimal action following a signal realization of "1 heads?" O Play O Not Play

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