Question

While playing Yahtzee, Amanda rolls five dice and gets 1, 2, 4, 5, 6. She decides to keep the 1, 2, and 4, and reroll the 5 and 6.
After rerolling the 5 and 6, what is the probability for a large straight (1-2-3-4-5) or three 4's?
Also, what is the probability for a small straight (1-2-3-4 plus anything else)or a pair of three's?

Answer 1

There are 36 possible outcomes of throwing two dice. For a 1-2-3-4-5 "large straight", you would have to throw 3,6 or 6,3. That has a probability of 2/36 = 1/18. For three fours, you need to throw 4,4, which has only a 1/36 probability. Do the others the same way.