Question

9. You have a bag with 3 red marbles, 4 blue marbles, and 5 green marbles. You draw 2 marbles out of the bag. Without replacing the first marble drawn from the bag, find each of the following probabilities.
P(blue, then blue) P(red, then green)

Answer 1

P(blue, then blue):
4/12*3/11
1/3*3/11
1/11

P(red, then green):
3/12*5/11
1/4*5/11
5/4/11
5/44

Answer 2

P(BB)=(4/12)(3/11)=12/132=1/11

P(RG)=(3/12)(5/11)=15/132=5/44