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  1. #1

    What are the odds?

    Okay, hoping someone can help...

    Son and I each rolled four different colored dice... one red, one white, one black, one yellow.

    What are the odds that we roll the exact same sequence of numbers on the exact same colored dice?

    Thank you, math folks!

  2. #2
    Normal dice or are you guys playing dungeons and dragons again?

  3. #3
    Quote Originally Posted by acdevil View Post
    Normal dice or are you guys playing dungeons and dragons again?
    Normal dice with six sides

  4. #4
    Join Date
    Nov 2007
    Location
    Manhattan
    How is the sequencing of the dice determined? Do you roll each die individually in color order or do you roll them all at once and theyíre sequenced according to how they land on the table? In other words: can you permute the dice after theyíre rolled?

  5. #5
    Join Date
    Jan 2010
    Location
    Outside Philly
    Quote Originally Posted by Lord Ash View Post
    Okay, hoping someone can help...

    Son and I each rolled four different colored dice... one red, one white, one black, one yellow.

    What are the odds that we roll the exact same sequence of numbers on the exact same colored dice?

    Thank you, math folks!
    Youíre in the middle of taking the SAT arenít you? This is cheating and I hope someone alerts the proctor.

  6. #6
    Quote Originally Posted by Native View Post
    How is the sequencing of the dice determined? Do you roll each die individually in color order or do you roll them all at once and theyíre sequenced according to how they land on the table? In other words: can you permute the dice after theyíre rolled?
    Rolled all at once, order doesn't matter, but the numbers of the dice match... so a 5 on both yellow dice, a 3 on both red dice, and so on.

    And no, not a test... my son and I actually did this, and we have no idea what the odds are... I texted my roomie, but he hasn't texted back yet, so I thought I'd ask here!

  7. #7
    Join Date
    Feb 2007
    Location
    NC
    So, you know you're going to get a result on 4 of the dice, so what you're asking is the odds (or the probability, though in this case they'll be basically the same number as at probabilities approaching 0 or 1 the odds match the probability) that the other 4 dice will exactly match those first 4, right?

    So the probability of two dice matching is 1/6. And you are matching 4 pairs of dice. So 1/6^4, or 1/1296 (0.08%). The odds are then 1/(1296*(1-1/1296)) = 0.08%.

  8. #8
    Crap, so I was RIGHT?! I figured there was no way I had figured that out correctly. Thanks!

  9. #9
    Quote Originally Posted by Lord Ash View Post
    Crap, so I was RIGHT?! I figured there was no way I had figured that out correctly. Thanks!
    Check your work - roll them 1296 more times and see if it happens once again. (I know.. once is just an expected value. But go with me - we need to keep Ash distracted from his school districtís inane decisions.)

  10. #10
    Join Date
    Feb 2007
    Location
    New Jersey
    Quote Originally Posted by Lord Ash View Post
    Okay, hoping someone can help...

    Son and I each rolled four different colored dice... one red, one white, one black, one yellow.

    What are the odds that we roll the exact same sequence of numbers on the exact same colored dice?

    Thank you, math folks!
    Who cares? Get one more die and play Yahtzee!
    Rich
    "Failure is Not a Destination"
    Coach K on the Dan Patrick Show, December 22, 2016

  11. #11
    Join Date
    Feb 2007
    Location
    Ashburn, VA
    Quote Originally Posted by Skydog View Post
    Check your work - roll them 1296 more times and see if it happens once again. (I know.. once is just an expected value. But go with me - we need to keep Ash distracted from his school districtís inane decisions.)
    Better yet, roll them 1,296,000 more times and tell us how close to 1,000 the number of perfect matches was =)

  12. #12
    Join Date
    Sep 2007
    Location
    Undisclosed
    You either will both roll the same, or you wonít. So itís 50/50.

  13. #13
    Join Date
    Feb 2007
    Location
    Chesapeake, VA.
    Quote Originally Posted by OldPhiKap View Post
    You either will both roll the same, or you wonít. So itís 50/50.
    Lol. There are only two places in the world: here or someplace else.

  14. #14
    Join Date
    Sep 2007
    Location
    Undisclosed
    Quote Originally Posted by rsvman View Post
    Lol. There are only two places in the world: here or someplace else.
    There are three kinds of people. Those who can count, and those who canít.

  15. #15
    Join Date
    Feb 2007
    Location
    Brooklet, GA
    Quote Originally Posted by OldPhiKap View Post
    You either will both roll the same, or you wonít. So itís 50/50.
    I read this in Elwood Blues' voice. It fits.

    Quote Originally Posted by OldPhiKap View Post
    There are three kinds of people. Those who can count, and those who canít.
    This one too.

  16. #16
    Quote Originally Posted by Skydog View Post
    Check your work - roll them 1296 more times and see if it happens once again. (I know.. once is just an expected value. But go with me - we need to keep Ash distracted from his school districtís inane decisions.)
    You arenít kidding

  17. #17
    Join Date
    Feb 2007
    Location
    Watching carolina Go To HELL!
    Quote Originally Posted by Lord Ash View Post
    Okay, hoping someone can help...

    Son and I each rolled four different colored dice... one red, one white, one black, one yellow.

    What are the odds that we roll the exact same sequence of numbers on the exact same colored dice?

    Thank you, math folks!
    Quote Originally Posted by Lord Ash View Post
    Crap, so I was RIGHT?! I figured there was no way I had figured that out correctly. Thanks!
    You're teaching you son how to play craps? Kewl!
    Ozzie, your paradigm of optimism!

    Go To Hell carolina, Go To Hell!
    9F 9F 9F
    http://www.EGLEW.com


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