I need your help solving this problem. Please help me by answering and explanations.

Problem 3. You are playing a simple game of chance with 50-50 odds: you make a wager, and with equal probability you make that much money or lose that much. You have $31, and adopt the following strategy: you start by betting $1. If you win, you stop playing and walk away with your winnings. If you lose, you double your bet and play again (the logic is that whenever you win, you make back everything you lost plus $1 more). You continue playing until you either win, or run out of money rst. What is the expected return frOm this strategy? What is the standard deviation