Which of the following helps more with the probability of getting a large straight in Yahtzee?

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My wife and I go back and forth on this one. Assume that you already have your small straight. Lets say your 5 dice are 1,2,3,3,4. To get a large straight, should you re-roll the 3, or re-roll the 1 AND 3? My wife says just the 3, because that way you only need 1 die to go your way instead of 2. I say the 1 AND 3 because it doubles your chances of getting a 5 which you need, and you still have a 1/3 chance that the second dice is a 1 or 6.

Looking for some probability experts to help me through this one.

In: Mathematics

6 Answers

Anonymous 0 Comments

You can get a total of 36 combinations out of 2 die. You need 5;1 or 5;6 or 1;5 or 6;5 to win.

So 4 out of 36 combos are a win. That’s only 1 in 9.

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