Twelve of the 20 students in Ms. Sarno’s homeroom are female. Each month, Ms. Sarno randomly selects a student to act as “teacher’s helper.”Which simulation best models the selection of female “teacher’s helpers” for January, February, March, and April?
Answer
A
A spinner, divided into 5 congruent sectors with three of the sectors representing female students, is spun 12 times.
B
A coin, with heads up representing female students, is flipped 4 times.
C
A bag of 15 marbles, with 9 marbles representing female students, has a marble drawn 4 times with replacement.
D
A number cube, with odd numbers representing female students, is rolled 12 times.
Explanation
There are 12 female students out of 20, so the probability of selecting a female student in one month is 12/20 = 3/5. The simulation should use four selections, one for each month, with the same probability each time. Choice C has 9 female marbles out of 15 (9/15 = 3/5) and draws four times with replacement, so each draw has the correct probability.
AI-written and checked against the verified answer.