Short Answer 
The probability of landing on blue after a total of 76 spins, where blue occurred 9 times, is calculated using the formula P(Blue) = 9/76, resulting in approximately 0.12 when rounded to two decimal places.
Step 1: Understand the Frequencies
First, gather and understand the frequencies of different colors resulting from the spins. The frequencies are as follows:
- Red: 18
- Blue: 9
- Green: 18
- Yellow: 19
- Purple: 12
This gives a total of 76 spins.
Step 2: Calculate the Probability of Blue
Next, compute the probability of landing on blue by using the formula for probability. Here, the number of occurrences of blue is 9 and the total number of spins is 76:
- Probability formula: P(Blue) = n(Blue) / N
- Applying the numbers: P(Blue) = 9 / 76
Step 3: Simplify the Result
Finally, simplify the calculated probability to get a more manageable figure. When you compute:
- Result: P(Blue) ‚Äöaa 0.1184211
- Rounded to two decimal places: 0.12
Thus, the probability that the next spin will land on blue is approximately 0.12.