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Yahtzee Probability

Calculate the Yahtzee probability for:

Yahtzee: 5 of a kind
4 of a kind
Full House
Large Straight
Small Straight
3 of a kind
Chance (Nothing)

Timestamps:
00:00 Intro
00:08 Probability of Yahtzee (5 of a Kind)
01:42 Probability of 4 of a Kind
03:04 Probability of a Full House
04:44 Probability of a Large Straight
06:15 Probability of a Small Straight
07:30 Probability of 3 of a Kind
08:41 Probability of Chance (Nothing)