6. Team A and Team B are competing in the following game: There are 25 flags...

6. Team A and Team B are competing in the following game: There are 25 flags planted on the beach. On its turn a team may take 1, 2, 3, or 4 flags. The team that takes the last flag wins. Team A chooses first. You are the captain of Team B. Using backward induction, devise and explain a strategy that guarantees your team will win.

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Team A and Team B are competing in the game.There are 25 flags planted on the beach. On its turn a team may take 1, 2, 3, or 4 flags. The team that takes the last flag wins. Team A chooses first. Assuming I am the captain of Team B. Using backward induction, devise and explaining a strategy that guarantees my team will win.

I am the caption of Team B, I will pick the methodology(strategy) to play 5-x if group A plays x for example on the off chance that Team A takes x flags, I will take (5-x) flags from the field on my best course of action. This will gurantee my success.

Reason is because:

It implies if x=1,2,3,4 I will decide to take 4,3,2,1 flags individually in my best course of action.
In this way, after the our first turn 25-5=20 flags would be left and on each turn 5 flags would be taken out. In this manner 20, 15,10, 5 will be left out about. At the point when 5 flags are left out about, utilizing a similar methodology above, I ensure that I win.

Rahul Sunny answered 6 months ago

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