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# Expected value

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Suppose you have a weighted coin in which heads comes up with probability 3/4 and tails 1/4 with probability . If you flip heads, you win 2 but if you flip tails, you lose 3. What is the expected win of a coin flip in dollars?

Aug 5, 2022

$$({3 \over 4} \times 2) + ({1 \over 4} \times -3) = \text{_____}$$