You play a game where your score is determined by a sequence of random coin flips. For each of the following scenarios, select which strategy is the most favorable. Assume all coins are fair. 1. You win if your score is at least 500.
A. You flip 1000 coins and each heads gives you one point.
B. You flip 10 coins and each heads gives you 100 points.
C. You flip 2 coins and each heads gives you 500 points.
D. You flip 1 coin and each heads gives you 1000 points.
2. You win if your score is at least 400.
A. You flip 1000 coins and each heads gives you one point.
B. You flip 10 coins and each heads gives you 100 points.
C. You flip 2 coins and each heads gives you 500 points.
D. You flip 1 coin and each heads gives you 1000 points.
3. You win if your score is 1000.
A. You flip 1000 coins and each heads gives you one point.
B. You flip 10 coins and each heads gives you 100 points.
C. You flip 2 coins and each heads gives you 500 points.
D. You flip 1 coin and each heads gives you 1000 points.
4. You flip 10,000 coins and you win if your score is greater than-100.
a. each heads gives you 1 point and each tail gives you -1 point.
b. each heads gives you 10 point and each tail gives you -10 points.
c. each heads gives you 100 point and each tail gives you -100 point.