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by yorkyorkyork
4057 days ago
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Easier explenation
There are 16 possibilities A Alice's coin
Ac Alice's choice
B Ben's coin
Bc Ben's choice
They win if A's and Bc's OR B's and Ac's are the same A Ac B Bc
T T T T W
H T T T W
T H T T W
H H T T L
T T H T W
H T H T L
T H H T W
H H H T W
T T T H W
H T T H W
T H T H L
H H T H W
T T H H L
H T H H W
T H H H W
H H H H W
It's easier to check for when they are losing: A Ac B Bc
H H T T |they both stick to their choices
H T H T |they both flip
T H T H |they both flip
T T H H |they stick
So the winning strategy is if one of them sticks to his choice and other flips it's choice. |
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