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what is the probability of matching 2 out of 3 numbers by drawing 6 from an urn with 90 numbers?

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What do you know how to do here?

Start with how many ways are there to draw 6 numbers from an urn of 90 without replacement?

Then you presumably have 3 numbers you are interested in, and wonder what are the ways that you drew 2 or 3 of those from the group of 90?  I.e. you can say that the ways to draw a 1 and a 2 i a group of six is basically the ways to draw the other four numbers, since the 1 and 2 are forced.

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