Alice and Bob have three cards each. Alice has 3, 49, and 7, while Bob has...

 

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Alice and Bob have three cards each. Alice has 3, 49, and 7, while Bob has 43, 48, and V3. They show one of their cards at the same time. If the cards have the same suit, Alice wins Bob, otherwise Bob wins Alice. The winner wins the product of the cards' values from the loser. For example, if Alice shows 42 and Bob shows 43, Alice wins 6 units from Bob. Alice and Bob play the game for many times, and they both use their optimal mixed strategies. If Bob shows the smaller spade with a probability 0.126, what is his probability to show the heart? Alice and Bob have three cards each. Alice has 3, 49, and 7, while Bob has 43, 48, and V3. They show one of their cards at the same time. If the cards have the same suit, Alice wins Bob, otherwise Bob wins Alice. The winner wins the product of the cards' values from the loser. For example, if Alice shows 42 and Bob shows 43, Alice wins 6 units from Bob. Alice and Bob play the game for many times, and they both use their optimal mixed strategies. If Bob shows the smaller spade with a probability 0.126, what is his probability to show the heart?

Answer rating: 100% (QA)

ANSWER Pheart 0126 Since each player wins an amount equal to the product of ... View the full answer