Question

select the correct answer. marcie conducts an experiment with a bag of marbles. she draws one marble from the bag, records its color, returns the marble to the bag, and draws again. the results of her experiment are shown below. marble color red blue green purple yellow number of times drawn 5 6 4 1 4 based on marcies experiment, what proportion of the marbles in the bag would she expect to be purple? a. 20% b. 5% c. 10% d. 1%

Explanation:

Step1: Calculate total draws

Add up the number of times each color was drawn: $4 + 1+4 + 6+5=20$.

Step2: Calculate proportion of purple

The number of times purple was drawn is 1. The proportion is $\frac{1}{20}$.

Step3: Convert to percentage

Multiply the fraction by 100: $\frac{1}{20}\times100 = 5\%$.

Answer:

B. 5%