You and your friend, Jeremy, are fishing in a pond that contains $10$ trout and $10$ sunfish. Each time one of you catches a fish, you release it back into the water. Jeremy offers you the choice of $2$ different bets.
**Bet $1$:** If the next $3$ fish he catches are all sunfish, you will pay him $\$100$; otherwise he will pay you $\$20$.
**Bet $2$:** If at least $2$ of the next $3$ fish you catch are sunfish, he will pay you $\$50$; otherwise you will pay him $\$25$.
**What is your expected return from bet $1$? Round your answer to the nearest cent. $\$$[[☃ input-number 1]]**
**What is your expected return from bet $2$? Round your answer to the nearest cent. $\$$ [[☃ input-number 2]]**
**Your friend says he is willing to take both bets a combined total of $50$ times. If you want to maximize your expected return, what should you do?**
[[☃ radio 1]]