M07.D-S.3.2.1
A bag contains 50 marbles, 10 of which are blue, 8 are red, 20 are green, and 12 are purple. Marcie takes a marble out of the bag, records the color, and returns it to the bag. How many red marbles should she expect after 500 trials?
(5 points)
Group of answer choices
80
100
120
200
To find out how many red marbles Marcie should expect after 500 trials, we need to calculate the probability of drawing a red marble in one trial.
Total marbles = 50
Number of red marbles = 8
Probability of drawing a red marble = Number of red marbles / Total marbles
Probability of drawing a red marble = 8 / 50
Probability of drawing a red marble = 0.16
Now, we need to find out how many red marbles she should expect after 500 trials.
Expected number of red marbles = Probability of drawing a red marble x Number of trials
Expected number of red marbles = 0.16 x 500
Expected number of red marbles = 80
Therefore, Marcie should expect 80 red marbles after 500 trials.
Answer: 80