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?