To determine how many times the spinner will land on the letter B when spun 198 times, we first calculate the probability of landing on B in a single spin.
The spinner has 9 sections:
- A: 2 sections
- B: 3 sections
- C: 3 sections
- D: 1 section
The total number of sections is 9. The probability of landing on B is the number of B sections divided by the total number of sections.
\[ \text{Probability of B} = \frac{\text{Number of B sections}}{\text{Total sections}} = \frac{3}{9} = \frac{1}{3} \]
Next, to find the expected number of times the spinner lands on B when spun 198 times, we multiply the total spins by the probability of landing on B:
\[ \text{Expected number of B} = 198 \times \frac{1}{3} = 66 \]
So, the correct prediction is that the spinner will land on the letter B 66 times.