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## Yahtzee

Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.

 Puzzle ID: #30577 Fun: (2.64) Difficulty: (2.14) Category: Probability Submitted By: buenos

The game of Yahtzee is played with five dice. On the first turn, a player rolls all five dice, and then may decide to keep any, all, or none of the dice aside before rolling again. Each player has a maximum of three rolls to try to get a favorable combination of dice "kept" on the side.

If a player rolls two 2s and two 4s on his/her first roll, and keeps all four of these dice aside, what is the probability of getting a full house (three of one value and two of another) in one of his/her next two rolls? (ie what is the probability of getting either a 2 or a 4 in one of the next two rolls?)

### Hint

Think of the probability of NOT getting a full house.
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