In the game of roulette, when a player gives the casino $21 for a bet on the number 33, the player has a 37/38 probability of losing $21 and a 1/38 probability of making a net gain of $735.(The prize is $756, but the player's $21 bet is not returned, so the net gain is $735.) If a player bets $21 that the outcome is an odd number, the probability of losing $21 is 20/38 and the probability of making a net gain of $21 is 18/38. (If a player bets $21 on an odd number and win, the player is given $42 that includes the bet, so the net gain is $21.)
If a player bets $21 on the number 33, what is the player's expected value?
The expected value is _______ dollars. (round to the nearest cent as needed)
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