SOLUTION: A container has 6 blue marbles, 2 red marbles, and 3 green marbles. If 3 marbles are drawn with replacement, what is the probability that all three will be blue?

Question 283904: A container has 6 blue marbles, 2 red marbles, and 3 green marbles. If 3 marbles are drawn with replacement, what is the probability that all three will be blue?
Found 2 solutions by richwmiller, brucewill:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
there are 6+2+3 marbles 11 total 6/11 are blue
(6/11)^3=216/1331=16.23%
Answer by brucewill(101) (Show Source): You can put this solution on YOUR website!
"With Replacement" means the probability is the same for each attempt. So, essentially, you are asking what is the probability of blue AND blue AND blue.
Probability of blue: 6/11.
Three blue in a row:
RELATED QUESTIONS
A container has 4 blue marbles, 5 red marbles, and 3 green marbles. if 3 marbles are... (answered by ewatrrr)
A box contains 9 red marbles, 8 green marbles, 5 yellow marbles, and 2 blue marbles. If 3 (answered by ewatrrr)
A bag contains 6 red marbles, 4 blue marbles, and 3 green marbles. If you draw two... (answered by Fombitz)
A bag contains 5 blue marbles, 6 red marbles, and 9 green marbles. Two marbles are drawn... (answered by stanbon)
A box contains 3 red and 5 green marbles. If 3 marbles are drawn without replacement,... (answered by edjones)
A bag contains 6 Red, 4 Blue, and 10 Green marbles. Two marbles are drawn, with... (answered by Boreal,greenestamps)
A bag contains 8 red marbles, 3 blue marbles and 5 green marbles. If three marbles are... (answered by ikleyn,MathLover1,greenestamps,Alan3354)
A box contains 3 red and 7 green marbles. If 9 marbles are drawn without replacement,... (answered by greenestamps)
A box contains 5 blue marbles, 3 red marbles, and 6 white marbles. If four marbles are... (answered by ptutor)