Question

Your friend asks you to play a gambling game. If you give her $1, you get...

Your friend asks you to play a gambling game. If you give her $1, you get to roll two dice. If you get a total of 11 or 12, she will give you a $5 bill. If your total is 7 she will give back your $1. Otherwise she keeps your $1. Let X be your overall gain after one round.
a) Construct the probability distributio table for X.
b) Compute E(X).
c) If you started with $1000, how much money would you expect to have after playing this game 1000 times?

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