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Alyssa and Gabriel play the following game. Alyssa rolls a die. If she rolls a 1, 2, or 3, Gabriel gives Alyssa $4. If Alyssa rolls a 4 or 5, Gabriel gives Alyssa $. However, if Alyssa rolls a 6, she gives Gabriel $23.
a) Determine Alyssa's expectation.
b) Determine Gabriel's expectation.
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