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<blockquote data-quote="orsal" data-source="post: 2767395" data-attributes="member: 16016">But you aren't trying to figure out the probability of all the dice getting a *particular* number, you're trying to figure out the probability of them all getting the same number, without specifying what that number is. The timing of the rolls is irrelevant -- just arbitrarily pick a die to call the first. &quot;All four dice come up the same&quot; is equivalent to &quot;whatever the first die got, the other three all got that.&quot;Yeah, me too. I think I hastily read &quot;four six-sided dice&quot; as &quot;four-sided dice&quot;.So this simplifies the calculation. The probability that the hero dice will all come up the same is (1/6)^3=1/216=0.005. The probability that a particular hero die will not match the demon die is 5/6; the probability that none of them will match the demon is (5/6)^4=625/1296=0.483....where n is the number of dice. That is the probability that at least one of the dice lands on a specified number (e.g. whatever number the demon die lands on).</blockquote>

[QUOTE="orsal, post: 2767395, member: 16016"] But you aren't trying to figure out the probability of all the dice getting a *particular* number, you're trying to figure out the probability of them all getting the same number, without specifying what that number is. The timing of the rolls is irrelevant -- just arbitrarily pick a die to call the first. "All four dice come up the same" is equivalent to "whatever the first die got, the other three all got that." Yeah, me too. I think I hastily read "four six-sided dice" as "four-sided dice". So this simplifies the calculation. The probability that the hero dice will all come up the same is (1/6)^3=1/216=0.005. The probability that a particular hero die will not match the demon die is 5/6; the probability that none of them will match the demon is (5/6)^4=625/1296=0.483. ...where n is the number of dice. That is the probability that at least one of the dice lands on a specified number (e.g. whatever number the demon die lands on). [/QUOTE]

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