Provide complete calculation. Don't submit only explanation

A ball can land in 38 slots: 18 are colored RED and 18 are colored BLACK. The other two are labeled "0" and '00" and are losers. Pretend that you are planning to go to Atlantic City over Spring Break. You have saved up all semester and have $20.00 to bet. Suppose that you are not an experienced gambler and plan on just betting on just BLACK. Each bet costs you $4.00. If you win, you get back the $4.00 you bet, plus $4.00 more. If you lose, you lose the $4.00. Since the odds are in the house's favor, you will eventually lose the $20.00. How many plays can you expect to get before going bankrupt? What is average maximum that you win before you go bankrupt? Half the numbers 1-36 = Red Half the numbers 1-36 = Black 0 and 00 are neither P(red) = 0.473684 P(Black) = 0.473684 P(0 and 00) = 0.052632 The payout is 1-2 Total: $20 to gamble If you lose, you lose $4 If you win, you keep the $4 + $4 more = $8