Suppose you are trying to decide how to attack your opponent in a video game contest. If you choose Strategy A and your opponent guesses correctly you will win 60% of the time. If you chose A and your opponent assumes you will pick B you will win 80% of the time. If you choose Strategy B and your opponent assumes you will pick B you will win 60% of the time. If you choose B and your opponent assumes you will pick A you will win 70% of the time. What percentage of the time should you choose A?

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