CPM Homework Help : MC1 Problem 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.

Hint:

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

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

Can you find the remaining experimental probabilities?

More Help:

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

Example:

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

Partial Answer:

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?