Question

twelve of the 20 students in ms. sarnos homeroom are female. each month, ms. sarno randomly selects a student to act as teachers helper. which simulation best models the selection of female teachers helpers for january, february, march, and april? a spinner, divided into 5 congruent sectors with three of the sectors representing female students, is spun 12 times. a coin, with heads up representing female students, is flipped 4 times. a bag of 15 marbles, with 9 marbles representing female students, has a marble drawn 4 times with replacement. a number cube, with odd numbers representing female students, is rolled 12 times.

Explanation:

Step1: Calculate probability of selecting female student

The probability of selecting a female student is $\frac{12}{20}=\frac{3}{5}$.

Step2: Analyze each option

• Option A: Spinning a spinner with 5 congruent sectors and 3 representing females 12 times is incorrect as we are selecting for 4 months not 12 times.
• Option B: Probability of heads on a coin is $\frac{1}{2}

eq\frac{3}{5}$.

• Option C: Probability of drawing a female - representing marble from a bag of 15 marbles with 9 female - representing marbles is $\frac{9}{15}=\frac{3}{5}$, and drawing 4 times (for 4 months) is correct.
• Option D: Probability of getting an odd number on a number cube is $\frac{3}{6}=\frac{1}{2}

eq\frac{3}{5}$.

Answer:

C. A bag of 15 marbles, with 9 marbles representing female students, has a marble drawn 4 times with replacement.