SOLUTION: An urn contains chips 1,2,3,4,5,6. Two are drawn without replacement. Let the random variable W denote the larger of the two numbers drawn. I just need help setting up the chart he

Question 349265: An urn contains chips 1,2,3,4,5,6. Two are drawn without replacement. Let the random variable W denote the larger of the two numbers drawn. I just need help setting up the chart here is what i have:
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fx(X): | | | | | |
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An urn contains chips 1,2,3,4,5,6. Two are drawn without replacement. Let the random variable W denote the larger of the two numbers drawn. I just need help setting up the chart here is what i have:
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There are 6*5 = 30 pairs.
The 1 is largest once::::1/1
The 2 is largest twice:::1/2;2/1
the 3 is largest 4 ways::3/1;1/3;3/2;2/3
The 4 is largest 6 ways::4/1;1/4;4/2;2/4;4/3;3/4
etc.
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P(1) = 1/24
P(2) = 2/24
P(3) = 4/24
P(4) = 6/24
etc.
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cheers,
Stan H.

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