Probability - Calculate probability of win on multiple bets

Question

There's a game where I can bet on the result of a random generated number that could be $1$ or $2$. In fact, I've got $50\%$ probability that the number will be $1$ and $50\%$ probability that it will be $2$. But what if I bet $10$ times, and I win if I get $1$ just one time? I mean, I could get $2$ four times but then get $1$ and win. Is it true that, if in that $50\%$ of lose probability there's another bet with $50\%$ probability of win, the final probability is $75\%$? Thanks!