Results 1 to 5 of 5

Math Help - Six dice are rolled at one time. What's the probability that all six faces differ?

  1. #1
    Newbie
    Joined
    Aug 2012
    From
    Canada
    Posts
    5

    Six dice are rolled at one time. What's the probability that all six faces differ?

    show work? I don't understand how to do this, no one taught me a formula
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member MaxJasper's Avatar
    Joined
    Aug 2012
    From
    Canada
    Posts
    482
    Thanks
    55

    Re: Six dice are rolled at one time. What's the probability that all six faces differ

    {1,2,3,4,5,6} = 6
    {1,2,3,4,5}=5
    4
    3
    2
    1
    Prob(all faces different)=1*2*3*4*5*6/6^6 = .015432 = 1.5432%
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,914
    Thanks
    779

    Re: Six dice are rolled at one time. What's the probability that all six faces differ

    Hello, Cindz83!

    Six dice are rolled at one time.
    What is the probability that all six dice shows different numbers?

    They taught you "the formula".
    You just don't know how to apply it.

    The first die can be any number: Prob. = \tfrac{6}{6}

    The second die must not match the first die: Prob. = \tfrac{5}{6}

    The third die must not match the first 2 dice: Prob. = \tfrac{4}{6}

    The fourth die must not match the first 3 dice: Prob. = \tfrac{3}{6}

    The fifth die must not match the first 4 dice: Prob. = \tfrac{2}{6}

    The sixth die must not match the first 5 dice: Prob. - \tfrac{1}{6}


    Therefore: . P(\text{6 different numbers}) \:=\:\frac{6}{6}\cdot\frac{5}{6}\cdot\frac{4}{6} \cdot \frac{3}{6}\cdot \frac{2}{6}\cdot\frac{1}{6} \:=\:\frac{5}{324}
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Aug 2012
    From
    USA
    Posts
    10

    Re: Six dice are rolled at one time. What's the probability that all six faces differ

    I am completely agree with the SOROBON.
    Thank you for providing this
    Bizworldusa
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor
    Joined
    Dec 2007
    From
    Ottawa, Canada
    Posts
    3,171
    Thanks
    73

    Re: Six dice are rolled at one time. What's the probability that all six faces differ

    cobooboc and bizworldusa: get lost !!
    All you want to do is advertize, not help...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: November 20th 2011, 10:35 PM
  2. Three dice are rolled.
    Posted in the Statistics Forum
    Replies: 3
    Last Post: May 10th 2011, 08:43 AM
  3. Replies: 2
    Last Post: June 6th 2010, 06:05 AM
  4. Two 6-sided dice are rolled are rolled.
    Posted in the Statistics Forum
    Replies: 3
    Last Post: May 23rd 2010, 05:03 AM
  5. 3 Dice Are Rolled..Find Prob.
    Posted in the Statistics Forum
    Replies: 1
    Last Post: September 30th 2009, 01:04 PM

Search Tags


/mathhelpforum @mathhelpforum