Can someone check over my answers.
A bag contains 9 red marbles, 10 white, 5 blue. If 6 are drawn at random, what is the probability
1.3 blue
2.same number of each color
3.NONE WILL BE RED
4.all 6 will be the same color
I got
- exactly 3 blue
P(exactly 3 Blue)=(5C3)(19C3)/ (24C6)= 9,690134,596 ≈ 0.072
- same number of each colour
(9C2)(10C2)(5C2)/ (24C6) = 16,200/134,596 ≈ 0.12
- P(none of the 6 are red)=(15C6)/(24C6)= (5,005)/(134,596) ≈ 0.037
4.P(6 same color)=(294)/ (134,596) ≈ 0.0022
Thanks in advance for your help