CPM Homework Help : CC1MN Problem 7-40

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:

What is the experimental probability of drawing each color of marble?

Step 1:

Add up all of the draws.

$9+16+6+19=50$

Step 2:

Divide each number of draws by the total number to find the experimental probability.

$\frac{9}{50}=18$ percent purple, $\frac{16}{50}=32$ percent orange, $\frac{6}{50}=12$ percent Yellow, $\frac{19}{50}=38$ percent Green

Answer:

Divide by $10$ to find the number of each color of marble in the bag. Make sure to round to the nearest whole number.

$2$ purple, $3$ orange, $1$ yellow, $4$ green.