A spinner is divided into 12 equal sections where 5 of the sections are red, 3 are blue, 2 are orange, and 2 are green. What are the frequencies of each color if you spend the spinner 60 times?
prob(red) = 5/12
prob(blue) = 3/12
etc for the other colours.
then multiply each prob by 60
you can check your answer by making sure all the prob's above add up to 1
and the sum in the colour distribution is 60
To find the frequencies of each color when spinning the spinner 60 times, we need to determine the probability of landing on each color and then multiply it by the total number of spins.
First, let's find the probability of landing on each color.
The spinner has 12 equal sections, and the number of sections for each color is given as follows:
- Red: 5 sections
- Blue: 3 sections
- Orange: 2 sections
- Green: 2 sections
To find the probability of landing on each color, we divide the number of sections for each color by the total number of sections on the spinner:
- Probability of landing on red: 5/12
- Probability of landing on blue: 3/12
- Probability of landing on orange: 2/12
- Probability of landing on green: 2/12
Now, let's calculate the frequencies by multiplying the probabilities by the total number of spins (60):
- Frequency of red: (5/12) * 60 = 25
- Frequency of blue: (3/12) * 60 = 15
- Frequency of orange: (2/12) * 60 = 10
- Frequency of green: (2/12) * 60 = 10
Therefore, after spinning the spinner 60 times, the frequencies of each color would be as follows:
- Red: 25 times
- Blue: 15 times
- Orange: 10 times
- Green: 10 times