Monday, June 11, 2018

MONDAY MIND GAME

Kangwa, Rafael, and Ferdinand are involved in a three-way duel.

They each get a gun and take turns shooting at each other until only one person is left. 

Okay, here are the stats:
Kangwa hits his shot 1/3 of the time, and he gets to shoot first. 

Rafael, hits his shot 2/3 of the time, and he gets to shoot next if he’s still living.

Ferdinand, having perfect record at shooting (100% accuracy), has to shoot last (obviously, if still alive).
The cycle repeats. Where should Kangwa shoot first for the highest chance of survival?









Give up?
(Yeah, I did too)


Drag your cursor between the asterisks for the answer:










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He should shoot at the ground.

If Kangwa shoots the ground, it is Rafael's turn. Rafael would rather shoot at Ferdinand than Kangwa, because Ferdinand is better. 

If Rafael kills Ferdinand, it’s just Kangwa and Rafael left, giving Kangwa a fair chance of winning. 

If Rafael doesn’t kill Ferdinand, it’ll be Ferdinand's turn, and he would rather shoot at Rafael (and will definitely kill him). Even though it’ s now Kangwa against Ferdinand, Kangwa has a better chance of winning than before.




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