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468.A Call Option on Two Dice

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expected valueCh. 6 — Random Variables and Expectation444+ Problems in Probability
Two fair 6-sided dice are rolled and the underlying settles at the product of the two upfaces. What is the fair price of a call option with strike 30 on this product — that is, E[max(XY30,0)]E[\max(XY - 30,\, 0)]?

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