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(...) Wow! You wrote a program! Thanks Dan! Again I'm impressed with the knowledge and skills of those that partake in LUGNET! Adding to my case, Dave K (22 years ago, 3-Mar-03, to lugnet.off-topic.geek)
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| | Re: math question (or pattern... whatever...)
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(...) The original question: 4 marbles in a bag, 2 are red, one is white, one is blue You reach into the bag and grab 2 of them. You see that one of the marbles in your hand is red. What is the chance (either fraction or percent) that the other (...) (22 years ago, 3-Mar-03, to lugnet.off-topic.geek)
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(...) Yep, you're right, your friend is wrong. The problem is that you *wouldn't* count "r(2) r(1)" if order didn't matter. But then again, the thing he's forgetting is that if you don't count "r(2) r(1)", then you also CAN'T count *both* "r(1) b" (...) (22 years ago, 3-Mar-03, to lugnet.off-topic.geek)
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(...) Hmm... I just thought of something. Are there two separate questions at work here? Question 1: Having drawn two marbles from a bag of two red, one white, and one blue marbles, what are the odds that the two you have drawn are both red? (...) (22 years ago, 3-Mar-03, to lugnet.off-topic.geek)
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(...) I think he's wrong because he's trying to reason about partial knowledge, and that always causes problems. Look at it as a draw without replacement instead. The order you reveal things doesn't influence outcomes, they were what they were. you (...) (22 years ago, 3-Mar-03, to lugnet.off-topic.geek)
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(...) My knowledge of stats gives me less than 1 in one zillion chance of answering any random stats question correctly, but I likewise agree: The essential question is "If you reach into a bag with a red, a white, and a blue marble, then what are (...) (22 years ago, 3-Mar-03, to lugnet.off-topic.geek)
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(...) Here's his rationale, hopefully explained more fully (but I still think it's not quite kosher...) The time of the event--you grabbed 2 marbles there are 6 possible combinations in your hand r(1) r(2) r(1) b r(1) w r(2) b r(2) w b w those are (...) (22 years ago, 3-Mar-03, to lugnet.off-topic.geek)
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| | Re: math question (or pattern... whatever...)
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(...) I'm not a stats person, but I agree with your friend. r(2) r(1) is the same as r(1) r(2), because order doesn't matter. If it does, then you end up with more combos (w r(2), etc)... -- that's what I was going to say. But, I decided to run a (...) (22 years ago, 3-Mar-03, to lugnet.off-topic.geek)
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(...) <long snip> you're right, in both senses. Your logic for the first solution is valid, and your identification of his error in the second solution (which would lead to the same answer) is also correct. It is, indeed, 33% Adrian -- (URL) (22 years ago, 3-Mar-03, to lugnet.off-topic.geek)
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| | math question (or pattern... whatever...)
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k, here's something that came across my desk... you have a bag with 4 marbles in it. 2 of the marbles are red 1 marble is white 1 marble is blue you reach in and grab 2 random marbles you open up your hand a bit to only see the colour of one of (...) (22 years ago, 3-Mar-03, to lugnet.off-topic.geek)
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