Answered

A spinner has three colors where each slice is a different size.
Janet spun the spinner forty times and obtained the following
probability model below. Which answer choice represents the
number of rolls that Janet could have obtained?
Color
Probability
Red
0.4
Blue 0.25
Green 0.35
a Red: 30, Blue: 10, Green: 20
b Red: 40, Blue: 25, Green: 35
C Red: 16, Blue: 10, Green: 14
d Red: 8, Blue: 5, Green: 7



Answer :

GinnyAnswer
To determine the number of spins Janet could have obtained for each color, we need to use the given probabilities and multiply them by the total number of spins, which is forty.

1. Calculating the number of spins for Red:
- The probability of landing on red is 0.4.
- Number of spins for red = Total spins × Probability of red
- Number of spins for red = 40 × 0.4
- Number of spins for red = 16

2. Calculating the number of spins for Blue:
- The probability of landing on blue is 0.25.
- Number of spins for blue = Total spins × Probability of blue
- Number of spins for blue = 40 × 0.25
- Number of spins for blue = 10

3. Calculating the number of spins for Green:
- The probability of landing on green is 0.35.
- Number of spins for green = Total spins × Probability of green
- Number of spins for green = 40 × 0.35
- Number of spins for green = 14

Thus, the expected number of spins for each color should be:
- Red: 16
- Blue: 10
- Green: 14

Among the given answer choices, the correct one that matches these numbers is:
c) Red: 16, Blue: 10, Green: 14

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