Question
(a)
Part A
Out of
spins, a purple-and-red spinner landed on purple
times and on red
times.
Based on the experimental probability, how many of the next
spins would you expect to land on red?
A
282828
B
292929
C
303030
D
363636
(b)
Part B
What is probability of landing on purple? Select all that apply.
A
616\frac{6}{16}
16
6
B
916\frac{9}{16}
16
9
C
0.560.560.56
D
163\frac{16}{3}
3
16
Answers
GPT-4o mini
To answer the questions in parts A and B, we need specific numeric values for the number of spins and the results of those spins. Since you haven't provided complete information on how many spins were made and how many landed on each color, I'll explain the general methodology you can use.
### Part A
**To find the expected number of next spins landing on red:**
1. **Calculate the experimental probability for red:**
\[
P(\text{Red}) = \frac{\text{Number of times red landed}}{\text{Total number of spins}}
\]
2. **If you plan to spin the spinner \( N \) more times, the expected number of times red will land is:**
\[
\text{Expected number of reds} = P(\text{Red}) \times N
\]
After calculating the probability using the above method, you can see which option corresponds to the expected number of outputs.
### Part B
**To find the probability of landing on purple:**
1. **Calculate the experimental probability for purple:**
\[
P(\text{Purple}) = \frac{\text{Number of times purple landed}}{\text{Total number of spins}}
\]
Use the same spins data you applied for red to find purple.
2. **Compare this calculated probability with the options provided.**
### Example:
If there were 16 spins, and purple landed 9 times, the calculations would be as follows:
- For purple:
\[
P(\text{Purple}) = \frac{9}{16}
\]
- For red:
\[
P(\text{Red}) = \frac{7}{16}
\]
Use these results to compare with the options given in Part B. Select the choices that match your computed probabilities.
If you provide the specific numbers for when the spinner landed on each color, I can calculate and give you the exact answers.
### Part A
**To find the expected number of next spins landing on red:**
1. **Calculate the experimental probability for red:**
\[
P(\text{Red}) = \frac{\text{Number of times red landed}}{\text{Total number of spins}}
\]
2. **If you plan to spin the spinner \( N \) more times, the expected number of times red will land is:**
\[
\text{Expected number of reds} = P(\text{Red}) \times N
\]
After calculating the probability using the above method, you can see which option corresponds to the expected number of outputs.
### Part B
**To find the probability of landing on purple:**
1. **Calculate the experimental probability for purple:**
\[
P(\text{Purple}) = \frac{\text{Number of times purple landed}}{\text{Total number of spins}}
\]
Use the same spins data you applied for red to find purple.
2. **Compare this calculated probability with the options provided.**
### Example:
If there were 16 spins, and purple landed 9 times, the calculations would be as follows:
- For purple:
\[
P(\text{Purple}) = \frac{9}{16}
\]
- For red:
\[
P(\text{Red}) = \frac{7}{16}
\]
Use these results to compare with the options given in Part B. Select the choices that match your computed probabilities.
If you provide the specific numbers for when the spinner landed on each color, I can calculate and give you the exact answers.