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Recall the set of payoffs in a game of chuck-a-luck:
You win one times your bet if your number appears on one die.
You win two times your bet if your number appears on two dice.
You win three times your bet if your number appears on three dice
You lose your bet if your number appears on none of the dice.
You play 50 consecutive games of chuck-a-luck, betting 5 chips in each of the first 30 games, and 10 chips in each of the remaining 20 games. By the end of these games you'll expect to:
(Hint: You might want to draw a tree diagram to figure this one out. Note: you can win or lose to 1/10th of a chip.) <--- ( I dont need the tree diagram just the answer)
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