A spinner with 9 equal sections labeled with the letters A, A, B, B, B, C, C, C, and D is spun 198 times. Which of the following correctly predicts how many times the spinner will land on the letter B?(1 point) Responses 198 times 198 times 66 times 66 times 22 times 22 times 44 times

1 answer

To determine how many times the spinner will land on the letter B when spun 198 times, we first need to 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 probability of landing on B is the number of B sections divided by the total number of sections: \[ P(B) = \frac{3}{9} = \frac{1}{3} \]

Now, to find out how many times B lands when the spinner is spun 198 times, we multiply the total number of spins by the probability of landing on B: \[ \text{Expected number of B} = 198 \times \frac{1}{3} = 66 \]

So, the spinner is expected to land on the letter B approximately 66 times in 198 spins. The correct answer is: 66 times.