You are playing American roulette, which includes the numbers from 1 to 36 as well as 0 and 00. You bet $10 each time on the first 12 numbers from 1 to 12. The payout is 2-to-1, i.e. if you win, you get $20, otherwise you lose your $10. Find the (closest) probability that your net gain is positive if you place this bet 400 times in a row. (Use the standard normal table in the textbook or Excel functions.)