Keep the odds straight (1)

Probability Level pending

In the game of Yahtzee, five regular dice are rolled.

The outcome is called "Large Straight" if the dice can be arranged as a sequence of five consecutive values. Examples are ( 2 , 1 , 5 , 3 , 4 ) ; ( 6 , 5 , 3 , 4 , 2 ) ; ( 2 , 3 , 4 , 6 , 5 ) . (2, 1, 5, 3, 4);\ \ (6, 5, 3, 4, 2);\ \ (2, 3, 4, 6, 5). What is the probability of rolling Large Straight? Give the answer as a percentage, with three decimals precision.


The answer is 3.086.

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1 solution

Eli Ross Staff
May 18, 2016

There are 6 5 6^5 possible rolls (assuming ordered dice). There are 2 possible large straights (1-5) and (2-6), and there are 5 ! 5! ways to arrange those outcomes. The answer is 2 × 5 ! 6 5 3.086 % . \frac{2\times 5!}{6^5} \approx 3.086 \%.

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