Question
6
Fred has a spinner that is split into four equal sections: red, blue, green, and yellow. Fred spun the spinner 500 tim following would be a good estimate of the number of times the spinner lands on the green section?
A. 175
B.
142
C.
250
D. 415
Fred has a spinner that is split into four equal sections: red, blue, green, and yellow. Fred spun the spinner 500 tim following would be a good estimate of the number of times the spinner lands on the green section?
A. 175
B.
142
C.
250
D. 415
Answers
GPT-4o mini
To estimate the number of times the spinner lands on the green section, we can use the proportion of sections on the spinner. Since the spinner is divided into four equal parts, the probability of landing on any particular section, including green, is 1 out of 4.
Now, let's calculate the expected number of spins landing on green when Fred spins the spinner 500 times:
\[
\text{Expected number of green spins} = \text{Total spins} \times \text{Probability of landing on green} = 500 \times \frac{1}{4} = 125
\]
Now we can estimate which option is closest to our expected value of 125.
The options provided are:
A. 175
B. 142
C. 250
D. 415
The closest estimate to 125 from the options is B. 142.
So, the best estimate of the number of times the spinner lands on the green section is **B. 142**.
Now, let's calculate the expected number of spins landing on green when Fred spins the spinner 500 times:
\[
\text{Expected number of green spins} = \text{Total spins} \times \text{Probability of landing on green} = 500 \times \frac{1}{4} = 125
\]
Now we can estimate which option is closest to our expected value of 125.
The options provided are:
A. 175
B. 142
C. 250
D. 415
The closest estimate to 125 from the options is B. 142.
So, the best estimate of the number of times the spinner lands on the green section is **B. 142**.