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#1 2013-02-01 11:40:55

cooljackiec
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Please Post By 10:30 Eastern Time!!!

A bag has marbles of 4 colors: red, white, blue, and green. Assume that if we take four marbles out at random (without replacement), each of the following is equally likely:

(1) one marble of each color is chosen,

(2) one white, one blue, and two reds are chosen,

(3) one blue and three reds are chosen,

(4) all four are red.

What is the smallest possible number of marbles in the bag?


I see you have graph paper.
You must be plotting something
lol

#2 2013-02-01 19:56:58

bobbym
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Re: Please Post By 10:30 Eastern Time!!!

Hi;

Sorry, I could not meet the time, I was sleeping.

The smallest I can come up with is a bag containing 11 reds, 3 whites, 2 blues and 5 greens.


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

#3 2013-02-02 10:48:49

cooljackiec
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Re: Please Post By 10:30 Eastern Time!!!

Its okay, I got 21


I see you have graph paper.
You must be plotting something
lol

#4 2013-02-02 17:45:50

bobbym
Administrator

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Re: Please Post By 10:30 Eastern Time!!!

Sorry, that is what I got too, I meant 3 whites not 4!


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

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