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Default Random function - weighted

hello,
I need to do a drawing for a prize and I have a list of 100 names. they are
in column A. Each person has a different number of points. For each point I
want the random selection to be weighted.
So if Tom has 5 points, Jim has 3, and Tammy has 2 then Tom would have 5
chances to win, Jim 3, and Tammy would have one.
Here is a sample:
name Grand Total of all Points
ralph 16
tom 10
dick 9
harry 8
jim 2
jr 2
mike 2
mark 1
robert 1
tim 1
In this example, how can Ralph have 16 times greater chance at winning than
Tim?
Thanks!

 
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