Trouble with Yahtzee: Where Did I Make the Mistake?

  • Context: Undergrad 
  • Thread starter Thread starter chriszhao
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SUMMARY

The discussion centers on the calculation of the probability of achieving a full house in Yahtzee. The user initially calculated the numerator as 3000, which is incorrect; the correct numerator is 300. The confusion arises from misunderstanding the distinction between the number of combinations and the probability itself. The correct probability is expressed as 300/7776, confirming that the user miscalculated the combinations involved in forming a full house.

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chriszhao
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The probability of getting a full house in Yahtzee,
here is my answer: (6C1)(5C3)(5C1)(5C2)=3000
but from different sources, the correct answer is 300
Where did I make the mistake? Please help me.
 
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Since a probability must be between 0 and 1, neither of those is correct! Did you mean "the number of different ways"? In any case, it is impossible to tell what you did wrong since you didn't post what you did!
 
Sorry I meant that the numerator I got was 3000 as in 3000/7776
where the correct answer is 300/7776
 

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