Question

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.

What is the predicted footwear of three randomly chosen students if Ava drew two yellow marbles and 1 blue marble?
2 students wearing boots and 1 student wearing sneakers
2 students wearing sneakers and 1 student wearing boots
2 students wearing dress shoes and 1 student wearing boots
2 students wearing sneakers and 1 student wearing dress shoes

Answer 1

Given : 12 students were wearing sneakers, 4 students were wearing boots, and 6 students were wearing dress shoes.  

She placed 2 blue marbles, 3 red marbles, and 6 yellow marbles in a bag, and selected one marble, with replacement, for each student.

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

2 students wearing boots and 1 student wearing sneakers

2 students wearing sneakers and 1 student wearing boots

2 students wearing dress shoes and 1 student wearing boots

2 students wearing sneakers and 1 student wearing dress shoes

Solution:

12 students were wearing sneakers,

4 students were wearing boots,

6 students were wearing dress shoes.

2 blue marbles, 3 red marbles, 6 yellow marbles in a bag

 6 yellow marbles  = 12/2 students wearing sneakers,

 3 red marbles,   =   6/2  students were wearing dress shoes.

 2 blue marbles  =   4/2  students were wearing boots,

Hence

yellow marbles represent students wearing sneakers,

Red marbles represent students wearing dress shoes.

Blue marbles represent students wearing boots,

Ava drew two yellow marbles and 1 blue marble

2 yellow marbles  =  2 students wearing sneakers

1  blue marbles  =  1  students were wearing boots,

2 students wearing sneakers and 1 student wearing boots is the correct answer

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Answer 2

Answer:

B

Step-by-step explanation: