Find the probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, four yellow, and five red marbles such that the marbles are different colors.
with or without the replacement
oh its easy
but the marbles that you choose need to be different colors, so the choices are 47/132, 47/30, 47/66, 1/6, and 2/3
u have to solve it this way: if green and yellow marbles are drawn, then it can be done in 3*4 ways=12 ways similarly: yellow, red---------20 green, red---------15 total 12+20+15 ways=47 ways u have to select 2 marbles from 12, so it can be done in 12C2=66 ways.. so, probability: 47/66
Thanks so much for your help!