twelve of the 20 students in ms. sarnos homeroom are female. each month, ms. sarno randomly selects a…

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.

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.

Answer

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 $\frac{1}{2}\neq\frac{3}{5}$.
  • 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 $\frac{3}{6}=\frac{1}{2}\neq\frac{3}{5}$.

Answer:

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