he spinner to land on purple approximately 1 time in the next 13 spins.
The image shows the results of a spinner landing on several different colors. We're asked to predict how many of the next 13 spins we should expect to land on purple based on the provided data.
Here are the steps to calculate this:
1. **Count the Total Number of Spins**: Add up the number of times the spinner landed on each color to get the total number of spins.
2. **Find the Number of Times the Spinner Landed on Purple**: This is given directly in the data.
3. **Calculate the Probability of Landing on Purple**: Divide the number of times the spinner landed on purple by the total number of spins to get the probability of landing on purple.
4. **Predict the Expected Number of Purple Spins**: Multiply the probability of landing on purple by the number of upcoming spins (in this case, 13).
Let's perform these calculations using the data:
- Yellow: 6 times
- Red: 3 times
- Purple: 2 times
- Green: 12 times
- Blue: 3 times
Total number of spins = 6 (Yellow) + 3 (Red) + 2 (Purple) + 12 (Green) + 3 (Blue) = 26 spins
The probability of landing on purple = Number of times landed on purple / Total number of spins = 2 / 26
Expected number of purple spins in the next 13 spins = Probability of purple * 13 spins
Let's calculate the expected number of purple spins.
Based on the provided data, we can expect the spinner to land on purple approximately 1 time in the next 13 spins.