Yahtzee is a classic dice game played with 5 dice. Each player's turn consists of rolling the dice up to 3 times in hope of making 1 of 13 categories.
One category is a small straight, which consists of any of the following:
1, 2, 3, 4 showing on 4 of the 5 dice
2, 3, 4, 5 showing on 4 of the 5 dice
3, 4, 5, 6 showing on 4 of the 5 dice
Suppose I have a 1, 2, 3 already on three of my five dice. I have one more throw left
in my turn, so I throw the remaining two dice in hopes of getting a small straight.
What is the probability that I get a small straight after my last throw?