Alyssa and Gabriel play the following game. Alyssa rolls a die. If she rolls a 1, 2, or 3, Gabriel gives Alyssa $3. If Alyssa rolls a 4 or 5, Gabriel gives Alyssa $2. However, if Alyssa rolls a 6, she gives Gabriel $14. a) Determine Alyssa's expectation.
b) Determine Gabriel's expectation.

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The american colonies would have been ruled by a king.