### Home > MC1 > Chapter 10 > Lesson 10.1.1 > Problem10-11

10-11.

Imagine that you have a bag containing 10 marbles of different colors. You have drawn a marble, recorded its color, and replaced it fifty times with the following results: 9 purple, 16 orange, 6 yellow, and 19 green marbles. Make a prediction for how many marbles of each color are in the bag. Show all of your work or explain your reasoning.

With the information given, you can make a list of experimental probabilities.
That is, you can create probabilities based on collected data.

$\text{For instance,\\the experimental probability that you will pick a purple marble is }\frac{9}{50}.$

Can you find the remaining experimental probabilities?

Because the bag only holds 10 marbles, you can consider equivalent probabilities out of 10 to help you make predictions.

$\text{We can solve this probability using cross multiplication: }\frac{9}{50}=\frac{x}{10}$

There are likely to be 2 purple marbles in the bag.
Can you use the same strategy to make predictions for the numbers of orange, yellow, and green marbles?