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?
Answer
A
2 students wearing boots and 1 student wearing sneakers
B
2 students wearing sneakers and 1 student wearing boots
C
2 students wearing dress shoes and 1 student wearing boots
D
2 students wearing sneakers and 1 student wearing dress shoes
Explanation
There are 22 students altogether. Boots make up 4/22 of the homeroom, matching 2/11 blue marbles; dress shoes make up 6/22, matching 3/11 red marbles; and sneakers make up 12/22, matching 6/11 yellow marbles. So two yellow draws predict two students wearing sneakers, and one blue draw predicts one student wearing boots: choice B.
AI-written and checked against the verified answer.