Recent content by Supertuscan

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    Undergrad Bar dice: six-of-a-kind out of nine in one shake

    Here is what I got: (9 choose 3) x (1/6)^6 x (5/6)^3 = .001041904... The odds of getting 6 of any particular value will be six times that, or: .0062514288
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    Undergrad Bar dice: six-of-a-kind out of nine in one shake

    So then the odds come out to .0062 * x =1 or, 1 in 147 shakes, is this correct?
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    Undergrad Bar dice: six-of-a-kind out of nine in one shake

    Thank you for the reply. Exactly six of a kind in one shake. I have been looking at the formula for this and to me it seems ultimately non-intuitive. Hopefully you can stick around to unpack this for me.
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    Undergrad Bar dice: six-of-a-kind out of nine in one shake

    What are the odds of getting six-of-a-kind out of nine dice in one shake? This is the shake of the day at a tavern near me. I know the odds of six-of-a kind-in one shake given six dice; the three extra dice have me bumfuzzled. I have been unable to plug the numbers into the equations I...