Expected value of a roulette bet

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huey910
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A has two bets(red or black) in a game of roulette. She bets half of what she has in the first round and then half of what she is left with after the first bet in the second bet. What is the expected value if she wins both bets?

Is this correct? (n is what the player has originally)
(n/2)*(18/37)*[(n/2+return)*(1/2)]*(18/37)
 
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Sorry I mistyped the question but I have figured the correct question myself already - thanks anyway!