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Quick probability question, please help?
A bag contains 4 red marbles 3 green marbles and 4 blue marbles, All of which are distinguishable.
In how many ways can 3 marbles be randomly picked from the bag so that exactly 2 different colors appear in the selection?
Also what is the possibility that at least 2 marbles are green when 3 marbles are randomly picked from the bag?
Thank you all so so much!
1 Answer
- M3Lv 79 years agoFavorite Answer
1. (4*3 + 4*4 + 3*4) = 40 <------
2. favorable ways are {2g, 2r} {2g,2b} {2g, 1r,1b} {3g, 1r} {3g, 1b}
3c2(4c2+4c2+4c1*4c1) + 3c3(4c1+4c1)
= 3(6+6+4+4) + 1(4+4) = 3*20 + 8 = 68
Pr = 68/11c3 = 68/165 <------
