A 6-Sided Die Has Been Weighted So That 5 or 6

A 6-sided die has been weighted so that 5 or 6 comes up 3 times as often as 1 or 2.Also,3 or 4 comes up 2 times as often as 1 or 2.Player A wins $6 if 1 comes up,$5 if 2 comes up and $4 if 3 comes up.Player B wins $3 if 4 comes up,$2 if 5 comes up and $1 if 6 comes up.What is the value of E[A] - E[B],where E[A] is the expectation of winning for player A and E[B] is the expectation of winning for player B?

A) 0.33
B) 0.67
C) -0.67
D) -0.33

Correct Answer:

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