Question

There are 6 green, 8 red, and 6 yellow marbles in a bag. You choose a marble without looking, put it aside, and then choose another marble without looking. Use the Multiplication Rule to find the specified probability, entering it as a fraction.

Find the probability that you choose a red marble, followed by a yellow marble, followed by a green marble.

The probability that you choose a red marble, followed by a yellow marble, followed by a green marble is

Answer 1

8/20 red marbles

6/20 yellow marbles

6/20 green marbles

Explanation:

All of them added together is 20 and there is a probability of choosing 8 red marbles, 6 green marbles, and 6 yellow marbles?

Answer 2

`(4)/(95)`

Explanation:

Total number of marbles in the bag = [ 6 green + 8 red + 6 yellow ] = 20

Then probability of choosing red marble = 8/20

total number of remaining marbles = 19

Then probability of choosing yellow marble = 6/19

total number of remaining marbles = 18

Then probability of choosing green marble = 6/18

Hence required probability that you choose a red marble, followed by a yellow marble, followed by a green marble
`=(8)/(20)\cdot(6)/(19)\cdot(6)/(18)`

`=(4)/(95)`

Hence final answer is
`(4)/(95)`