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 Set A and B (Posted on 2002-05-29)
Consider the following two sets:

Set A = { 2,3,4,6 }
Set B = { 2,5,7,9 }

What is the probability that two randomly chosen elements from B would add up to be more than the product of two randomly chosen elements from A?

 See The Solution Submitted by Dulanjana Rating: 2.5000 (8 votes)

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 Early thoughts | Comment 1 of 8
First, make sure that this isn't an AHA! question, by comparing the range of numbers involvd.

The sum of two elements of B range from 2+5=7 to 7+9=16

The Product of two elements of A range from 2*3=6 to 4*6=24

So the ranges overlap, and it is a legitimate question.

Since there are only 6 ways to pair the four elements of each set, we could build a 6 x 6 chart of all possible outcomes, an work it out by brute arithmatic, but I can't think of an "elegant" answer.
 Posted by TomM on 2002-05-29 16:47:20

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