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## Homework Statement

An experiment consists of drawing two balls out of a bag containing 3 red balls, 2 green, and 1 blue at random and without replacement. Figure out the probability of getting exactly one red ball.

## The Attempt at a Solution

I wrote down all the possible scenarios I could think of and I came out with:

RG, RB, RR, GR, GB, GG, BR, BG

So I thought the answer was 4/8 or .50%

Then I thought but BR=RB and BG=GB and GR=RG so then i eliminated those and thought the answer was 2/5.

The answer given is 3/5 or 60%

Any help is appreciated. Thank you.