Question

Ronnie has a bag with green, red, yellow, and blue marbles. He conducts a probability experiment. For each event in his experiment, Ronnie randomly selects one marble from the bag, records its color, and then replaces it. The results are shown in the table below.

Color Frequency
Green 30
Red 6
Yellow 12
Blue 24
Based on the experimental probability, if there are 12 marbles in the bag, how many of each marble color are in the bag?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find out how many marbles of each color are in the bag, we can calculate the probability of selecting each color based on the frequencies given in the table and then use that probability to determine the total number of marbles of each color.

The total number of marbles in the bag is given as 12.

The probability of selecting a green marble is 30/72 = 5/12.
Therefore, the number of green marbles in the bag is (5/12) * 12 = 5.

The probability of selecting a red marble is 6/72 = 1/12.
Therefore, the number of red marbles in the bag is (1/12) * 12 = 1.

The probability of selecting a yellow marble is 12/72 = 1/6.
Therefore, the number of yellow marbles in the bag is (1/6) * 12 = 2.

The probability of selecting a blue marble is 24/72 = 1/3.
Therefore, the number of blue marbles in the bag is (1/3) * 12 = 4.

So, there are 5 green marbles, 1 red marble, 2 yellow marbles, and 4 blue marbles in the bag.