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?
+37146 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
