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If you play a certain kind of game where you draw a card from a deck of 52 cards, if you draw an ace, you win $10.
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You draw a king, you win $5.
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If you draw a diamond, it's not the ace or king of diamonds.
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You get $2.
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Anything else you have to pay a dollar.
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What is your expected winnings? well, the question becomes, what is the probability or what is that you're going to get an ace, a king and the other diamonds, and then the other cards? so there's four aces in a deck.
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So that means the probability of getting an ace is four out of 52 or one -thirteenth.
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So one -thirteenth at the time, you're going to win the $10.
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So we're going to multiply those together.
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The kings, there's four kings in a deck out of 52.
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So one -thenth of the time, you're going to win $5.
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So we're going to multiply those together.
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Now, if we look at the diamonds, there's 13 diamonds in a deck.
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But we've already considered two of them, the ace and the king.
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So we're going to 11 out of 52.
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When we do that, 11 times out of 52, you're going to win $2...