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Lottery: In the New York State Numbers lottery, you pay $2 and can bet that the sum of the numbers that come up is 13. The pr
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Answer #1

Solution:

To find the expected gain/loss, multiply the probability by the outcome and add them together.

Since there's a 0.055 chance of a profit of $8, there's a 0.945 chance of a loss of $2:

0.055 ($6) - 0.945($2) = $0.33 - $1.89 = -$1.56

So the expected value is -$1.56. In other words, every time someone plays the expected loss is about 156 cents.

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