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

Explanation:

Step1: Match marbles with footwear

12 students wore sneakers, 4 wore boots, 6 wore dress - shoes. Marble ratio: 2 blue, 3 red, 6 yellow. Ratio of students is 12:4:6 = 6:2:3 (dividing by 2). So blue - boots, red - dress shoes, yellow - sneakers.

Step2: Determine footwear from marble draw

2 yellow marbles (sneakers) and 1 blue marble (boots).

Answer:

2 students wearing sneakers and 1 student wearing boots