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Signorie» Forums » General

Subject: What are the chances? rss

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Matt Hindmarch
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Two player game ... what a roll!

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Jon Ben
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Of course I've been up all night! Not because of caffeine, it was insomnia. I couldn't stop thinking about coffee.
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1/6^5 if those are standard d6s, it's been so long I don't remember meeple
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Matt Hindmarch
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I don't think so ... each color paired. It's not just 5 sets of pairs, it's each specific set of pairs matches in color.

But I wouldn't know how to begin calculating.
 
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Jon Ben
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The odds of rolling a pair on two dice is 1/6. Because you don't care what the number is, just that the second die matches the first. So the first die rolls anything, then there's a 1/6 chance that the second die matches the first.

The case of multiple sets follows the same logic.
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Matt Hindmarch
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But, Jon .., It isn't one pair of dice. It's 5 pairs of dice. And it isn't just that two sets of dice paired up five times ... specific pairs (colors) paired.
 
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David desJardins
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Jon is correct. I'm not sure what you're arguing about.
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Jon Ben
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MHindmarch wrote:
But, Jon .., It isn't one pair of dice. It's 5 pairs of dice. And it isn't just that two sets of dice paired up five times ... specific pairs (colors) paired.


Right so you understand that two dice have a 1/6 chance of being a pair.

If I have two red dice and two blue dice then the reds have a 1/6 chance of being a pair, so do the blue dice. So the chances of rolling a pair on the reds and a pair on the blues is 1/6 times 1/6 which is 1/6^2
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Jon Ben
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Of course I've been up all night! Not because of caffeine, it was insomnia. I couldn't stop thinking about coffee.
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Also 6^5 = 7776, so it IS really unlikely, as far as mundane conceptions of unlikely go.
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Frank M.
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So...since the dice are rolled 7 times per game, we could expect that to happen about once every 1,111 games?

Edit autocorrect nonsense
 
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Erik Burigo
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“Don't try the paranormal until you know what's normal.” - Granny Weatherwax
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skifreak737 wrote:
So...since the dice are rolled 7 times per game, we could expect that to happen about once every 1,111 games?


Yes, that would be the expected number.
 
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