Question

Please answer all three questions below:

1.) A bag of marbles contains the following assortment of marbles.

Yellow	Yellow	Red
Blue	Yellow	Red
Red	Green	Yellow
Blue	Yellow	Blue

Bag of Marbles

The experiment is to reach into a bag and pull out three marbles without replacement. Calculate the probability of randomly choosing three Red marbles.

P(three Red) =

2.) A bag of marbles contains the following assortment of marbles.

Red	Blue	Yellow
Yellow	Yellow	Red
Red	Green	Red
Green	Blue	Yellow

Bag of Marbles

The experiment is to reach into a bag and pull out three marbles, one at a time, while replacing each marble into the bag after recording its color. Calculate the probability of randomly choosing three Red marbles.

P(three Red) =

3.) A bag of marbles contains the following assortment of marbles.

Blue	Green	Blue
Green	Green	Green
Green	Red	Yellow
Red	Red	Green

Bag of Marbles

The experiment is to reach into a bag and pull out three marbles with replacement. Calculate the probability of randomly choosing two Green marbles and one Yellow marble.

P(two Green and one Yellow) =

Answer 1

1)

There are total 12 marbles. Since there are three red marbles out of 12 and marbles are drawn without replacement so the probability of getting 3 red marbles is

P(3 red marbles) = (3/12) * (2/11) * (1/10) = 0.0045

2)

There are total 12 marbles. Since there are three red marbles out of 12 and marbles are drawn with replacement so the probability of getting 4 red marbles is

P(3 red marbles) = (4/12) * (4/12) * (4/12) = 0.0370

3)

There are total 12 marbles. Since there are 6 green marbles and 1 yellow out of 12 and marbles are drawn with replacement so the probability of getting 2 green marbles and 1 yellow is

P(2 green and 1 yellow) = (6/12) * (6/12) * (1/12) = 0.0208