Probability of a Large Straight = Total Combos of 1-2-3-4-5 or 2-3-4-5-6 / All Possible Rolls

Probability of 1-2-3-4-5 = Combos(1st die * 2nd die * 3rd die * 4th die * 5th die)

Combos of 1-2-3-4-5 = 5 * 4 * 3 * 2 * 1

Combos of 1-2-3-4-5 = 120

Combos of 2-3-4-5-6 = Same Combos as 1-2-3-4-5

Combos of 2-3-4-5-6 = 120

Total Combos of 1-2-3-4-5 or 2-3-4-5-6 = 120 + 120

Total Combos of 1-2-3-4-5 or 2-3-4-5-6 = 240

Total Possible Die Roll Combos = 6 * 6 * 6 * 6 * 6

Total Possible Die Roll Combos = 7,776

Probability of a Large Straight = | Total Large Straight Combos |

Total Possible Die Roll Combos |

Probability of a Large Straight = | 240 |

7776 |

Using our GCF calculator, we reduce top and bottom by 48, to get

Probability of a Large Straight = | 5 |

162 |