Gene needs to create a probability model for a bag of 24 marbles. He randomly pulls a marble from the bag, records its color, puts it back, and then repeats the process. The results are shown in the following table.



Color
Number of
Times Pulled
Blue

12

Red

14

Yellow

13

Green

14



He determines that the bag of marbles must have 12 blue marbles, 14 red marbles, 13 yellow marbles, and 14 green marbles.Is his probability model correct? Why or why not?

No, the bag is supposed to have 24 marbles, and Gene's model has 53.

No, the colors are not proportional to the results of his experiment.

Yes, the colors are proportional to the results of his experiment.

Yes, the bag is supposed to have 24 marbles, and Gene's model has

1 answer

No, the bag is supposed to have 24 marbles, and Gene's model has 53.

To elaborate, Gene's probability model indicates that there are 12 blue marbles, 14 red marbles, 13 yellow marbles, and 14 green marbles, which sums to a total of 12 + 14 + 13 + 14 = 53 marbles. This exceeds the total of 24 marbles mentioned in the problem statement. Therefore, his probability model is incorrect.