This time I am using Expectimax to solve a Probabilistic Problem.
A Dice (Die) Game
You are playing a Dice Game, with rules as below:
For round r = 1, 2, 3, 4, 5
You can choose an action: STAY or QUIT
If action = QUIT then get Rp.1000 and the game END.
If action = STAY then get Rp.400 and roll a die (1-6)
If the die shows a number that is equal or smaller than the round then the game END.
Else continue to the next round.
In the final round (5) if you choose to STAY and you got die = 6 you get an extra bonus for Rp. 1000
In which round you will decide to QUIT, or you will stay until the final round?
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Answering a Probabilistic Problem using Expectimax | NatokHD