Congratulations you provided the best answer. In fact the only answer.
In addition to the 66% of winning, if your opponent rolled a '5' or '6', you would draw the game with the additional 2 rolls. Therefore, if you pass you will have 66% chance of winning, 33% chance of drawing, and 0% chance of losing.
If you choose to roll again, your opponent could roll a '6' and win if you rolled a '1'. There is only about a 3% chance of this occurring. Your opponent could roll a '5' and draw if you rolled a '1' or draw by rolling a '6' if you rolled a '2'. If any other numbers are rolled you will win because of the 1 additional roll, In this scenario, you have about a 91% chance of winning, a 6% chance of drawing, and a 3% of losing.
The decision to roll again or pass depends on your level of risk aversion.
Congratulations you provided the best answer. In fact the only answer.
In addition to the 66% of winning, if your opponent rolled a '5' or '6', you would draw the game with the additional 2 rolls. Therefore, if you pass you will have 66% chance of winning, 33% chance of drawing, and 0% chance of losing.
If you choose to roll again, your opponent could roll a '6' and win if you rolled a '1'. There is only about a 3% chance of this occurring. Your opponent could roll a '5' and draw if you rolled a '1' or draw by rolling a '6' if you rolled a '2'. If any other numbers are rolled you will win because of the 1 additional roll, In this scenario, you have about a 91% chance of winning, a 6% chance of drawing, and a 3% of losing.
The decision to roll again or pass depends on your level of risk aversion.
Thank you! I didn't have the time to calculate the other chances in case the opponent rolls 5 or 6 but as you said very low chances.
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