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Yahtzee

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

 

Puzzle ID:#30577
Fun:*** (2.65)
Difficulty:*** (2.11)
Category:Probability
Submitted By:buenos*us***

 

 

 



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?)





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