Simple dice question

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Quote: sodawater

You can roll a die up to three times or stop after any roll. You get one dollar per pip on the final die.

So obviously you should stop on 6. You should also stop on 4 with one roll remaining because the expected number of pips with 1 roll is 3.5

The question is do you stop on 5 after the first roll.

Yes.....

if you reroll the 5 and reroll the dice again if it comes up 1,2,3 and stop if it comes up 4,5,6:

1/6 of the time u will end up with 4.
1/6 of the time u will end up with 5.
1/6 of the time u will end up with 6.
3/6 of the time u will end up with 3.5.

so thats 25.5/6 and thats less than 30/6 so you would stand on a 5.

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