Ava surveyed the students in her homeroom about their footwear. she found that 12 students were wearing sneakers, 4 students were wearing boots, and 6 students were wearing dress shoes. she used this data to create a tool that would predict the footwear of randomly chosen students in the school. she placed 2 blue marbles, 3 red marbles, and 6 yellow marbles in a bag, and selected one marble, with replacement, for each student.

I believe this answer is unfinished. The rest of the problem is:

What is the predicted footwear of three randomly chosen students if Ava drew two yellow marbles and 1 blue marble?

O 2 students wearing boots and 1 student wearing sneakers

O 2 students wearing sneakers and 1 student wearing boots

O 2 students wearing dress shoes and 1 student wearing boots

O 2 students wearing sneakers and 1 student wearing dress shoes

The answer to this question is 2 students wearing sneakers and 1 student wearing boots (the 2nd option).

Step-by-step explanation: I suggest making ratios on this problem. First, add up all of the students. 12 + 4 + 6 = 22. Then add up all of the marbles. 2 + 3 + 6 = 11. Make ratios comparing students wearing a certain type of footwear to the total number of students given and compare them to the ratios of a certain color of marbles to the total number of colors. The ratio of students wearing sneakers to the total number of students is 12/22 or 6/11. The ratio of yellow marbles to the total number of marbles is 6/11. Since they have the same ratio, you can assume that the yellow marbles represent students who wear sneakers.

The ratio of students wearing boots to the total number of students is 4/22 or 2/11. The ratio of blue marbles to the total number of marbles is 2/11. Since these ratios are the same, you can assume that the blue marbles represent students who wear boots.

The ratio of students wearing dress shoes to the total number of students is 6/22 or 3/11. The ratio of red marbles to the total number of marbles is 3/11. Since these ratios are the same, you can assume that the red marbles represent students who wear dress shoes.

Now, the question asks for the predicted footwear of three randomly chosen students if Ava drew two yellow marbles and 1 blue marble. Since we know that yellow marbles represent students who wear sneakers and blue marbles represent students who wear boots, we know that the predicted footwear of three random students will be 2 students wearing sneakers and 1 student wearing boots.

Sorry if this doesn't make sense.

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