You participate in a series of free games where you can place small bets on outcomes and either win, lose, or tie. Each play of the game has 5 possible payouts in dollars, each with equal probability: 0, $\pm 5.0$, $\pm 7.5$ (positive/negative correspond to if you win/lose that amount, 0 if you tie). If you play this game 100 times, what is the SE for the number of times you win?
(your answer must be correct to $\pm 0.1$)