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    If seven dice are rolled, what is the probability of four matching?

    0  Views: 396 Answers: 1 Posted: 14 years ago

    1 Answer

    The other day I was playing a dice game with my son.  The game uses 6 dice.  I rolled the six dice onto the table.  They were ALL fours.  He looked up the odds of doing that and it was something over 40,000:1.  
    We had a similar question the other day.  You need to figure out all the different combinations of the 7 dice in order to get the answer.  I'm going to look for other questions, as I already answered this kind of question last week. 

    hammersham

    How many combinations would there be? Is the formula 6 to the 7th power? If so, what would the probability of 4 dice matching in those combinations? If I'm on the wrong track here, please help me out. Thanks.
    Bob/PKB

    I will admit, we did not do the math on this one. He found the answer using his cell phone. But think about just two dice and the possibilities there:
    1, 1
    2, 1
    3, 1
    4, 1
    5, 1
    6, 1
    2, 2
    2, 3
    2, 4
    2, 5
    2, 6
    3, 2
    3, 3
    3, 4
    3, 5
    3, 6
    4, 4
    4, 5
    4, 6
    5, 5
    5, 6
    6, 6
    that's just 2 dice. mind-numbing


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