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What is the expected total number of tickets you receive

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1. Linearity

Solve the following problem using linearity of expectation. Explain your methods clearly.

In an arcade, you play game A 10 times and game B 20 times Each time you play game A, you win with probability 1/3 (independently or the other times), and if you win you get 3 tickets (redeemable for prizes), and if you lose you get 0 tickets. Game B is similar, but you win with probability 1/5. and if you win you get 4 tickets. what is the expected total number of tickets you receive? 

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Let Ai be the indicator you win the ith time you play game A and Bi be the same for game B. The expected value of A1 and B1 are.

Reference no: EM131178825

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