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Looking for average payout from a Daily Rewards Game

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Suppose X denotes the reward random variable according to your specification. And assume independence between each 'daily gift'.

The expected payout per day is just 9*E[X]
Where E[X] is the expectation of a single daily reward.

E[X] = 0x0.241 + 496x0.216 + 862x0.207 + 1653x0.147 + 2480x0.138 + 3306x0.043 + 5228x0.009

The probability of getting zero on all 9 draws is (again assuming independence) 0.241^9

The probability of getting maximum points all 9 draws is 0.009^9

I hope this has helped ;)

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