My friend and I flip a coin when we have lunch to see who buys. My friend did not win a coin flip the whole month. I came up with this plan to give him a better than 50/50 chance of winning. That is based on the fact he only has to gain and advantage 2 for me to buy lunch but i have to gain an advantage of 3 for him to buy lunch. My friend says he really has no advantage. We do not have the ability to figure this out mathematically since our math knowledge ended with basic Algebra and that was 50 years ago when we were in high school. Yikes! Now We flip a coin until either my friend has correctly picked 2 decisions more than I OR I have correctly picked 3 decisions more than him. Here is an example with my friend winning, i.e. I buy lunch he picked correctly 2 more times than me before I could pick 3 more times correctly than him.Here is an example of the game:
Note: He always flips the coin and picks the side he wants.We both agree it has no bearing on the outcome who flips the coin or picks the side.
1st flip: My friend is correct - Friend is +1 2nd flip: My friend is incorrect - We are now even 3rd flip: My friend is incorrect - I am +1 4th flip: My friend is incorrect - I am +2 5th flip: My friend is correct - I am +1 6th flip: My friend is correct - we are now even 7th flip: My friend is correct - Friend is +1 8th flip: My friend is incorrect - We are now even 9th flip: My friend is correct - Friend is +1 10th flip: My friend is correct - Friend is + 2 and wins the game. I buy lunch.
My friends son mentioned something about this being a random walk and good luck figuring that out.
Thank you for your time. Cecil