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Question 1
Jayden spins a spinner with four equal-size sections labeled red, yellow, green, and blue, 40 times. Micah randomly selects one marble from a bag that contains an equal number of red, yellow, green, and blue marbles. He replaces the marble and selects again. Micah repeats this experiment 40 times. Each student records their results in a frequency bar graph as shown.
The graph that best represents the results that can be expected from each experiment is Select Choice
vv graph.

Question $1$ $\newline$ Jayden spins a spinner with four equal-size sections labeled red, yellow, green, and blue, $40$ times. Micah randomly selects one marble from a bag that contains an equal number of red, yellow, green, and blue marbles. He replaces the marble and selects again. Micah repeats this experiment $40$ times. Each student records their results in a frequency bar graph as shown. $\newline$ The graph that best represents the results that can be expected from each experiment is Select Choice $\vee$ graph.

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Experiment design

Full solution

Q. Question

1

\newline

Jayden spins a spinner with four equal-size sections labeled red, yellow, green, and blue,

40

times. Micah randomly selects one marble from a bag that contains an equal number of red, yellow, green, and blue marbles. He replaces the marble and selects again. Micah repeats this experiment

40

times. Each student records their results in a frequency bar graph as shown.

\newline

The graph that best represents the results that can be expected from each experiment is Select Choice

\vee

graph.

Spinner Probability Calculation: Jayden's spinner has $4$ equal sections, so the chance of landing on any color is $\frac{1}{4}$ . Since he spins it $40$ times, we expect each color to appear about $10$ times ( $40$ spins $\times \frac{1}{4}$ chance per color).
Marble Probability Calculation: Micah has an equal number of each color marble in the bag. So, the probability of picking any color is also $\frac{1}{4}$ . After $40$ picks, we expect each color to be picked about $10$ times ( $40$ picks $\times \frac{1}{4}$ chance per color).
Expected Results Graph: The graph that represents the expected results would show each color with a frequency of about $10$ for both Jayden and Micah's experiments.

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\newline

1

\newline

4

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\newline

8

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\newline

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0

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\newline

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