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.