Question

A bag contains marbles. 2/3 of the marbles are green, 2/9 are purple, and the rest are orange.

Find the probability of each color. (think about what you need in your denominator)


If there are 18 marbles in the bag, how many of each color are there?




Sum of all the probabilities = ______________________

Answer 1

P(green) = 2/3

P(purple) =2/9

P(orange) =1/9

12 green marbles

4 purple marbles

2 orange marbles

The sum of all probabilities is 1

Explanation:

P(green) = 2/3

P(purple) =2/9

To find orange get a common denominator

2/3 *3/3 = 6/9

6/9+2/9 = 8/9

The remaining 1/9 are orange

P(orange) =1/9

2/3 *18 = 12 so there are 12 green marbles

2/9*18 = 4 purple marbles

1/9*18 = 2 orange marbles

The sum of all probabilities is 1