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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).What is the probability of rolling Large Straight? 

 Jul 24, 2020
 #1
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Number of possible rolls    6 x 6 x 6 x 6 x 6 = 65 =7776

 

Number of ways to roll   1 2 3 4 5     5 x 4 x 3 x 2 = 120

                 but you could also roll   6 5 4 3 2         = 120

 

 

total   240 ways to roll a large straight (with a single roll) out of 7776 possible rolls

 

240/7776 = 5/162

 Jul 24, 2020

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