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Mathematics, 12.04.2020 13:11 sabrinaaz

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QUESTION 1!
The students in a high school are being randomly split into focus and accountability groups. Each group contains four students, selected regardless of gender or grade level.

You conduct a simulation using colored discs in a bag: red, blue, green, and yellow. You decide that red (r) represents the freshmen, blue (b) represents the sophomores, green (g) represents the juniors, and yellow (y) represents the seniors.

Next, you randomly select one disc from the bag, record the color, and put the disc bag in the bag. You do the same thing three more times to represent one group. Then, you complete this entire process twenty-five times, as shown below.

y, g, y, b g, g, g, r r, g, b, g b, b, b, y r, r, y, g
b, r, g, g y, r, r, g y, y, g, r b, g, b, b y, r, g, r
y, g, g, y b, y, y, b y, g, b, r g, b, y, g b, g, y, g
y, b, y, y b, r, y, y g, y, y, y g, r, y, r g, y, b, b
r, g, r, r b, r, y, g b, b, b, b y, b, r, y y, y, y, y

1. Based on the results of the simulation, the experimental probability of a group having four students from the same grade level is
%.

2.Based on the results of the simulation, if 224 groups are formed, about how many of them would you expect to contain one student from each grade level? Round your answer to the nearest number of groups.

___ groups

3. Based on the results of the simulation, if 115 groups are formed, about how many of them would you expect to contain at least two freshmen? Round your answer to the nearest number of groups.

a.18 groups
b.23 groups
c.15 groups
d.12 groups

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