To predict the number of times Cam will roll the number 4 when rolling a fair 6-sided die 2400 times, we can use the expected probability of rolling a 4.
Since the die is fair, the probability of rolling a 4 on any single roll is:
\[ P(4) = \frac{1}{6} \]
To find the expected number of times Cam rolls a 4, we multiply the total number of rolls (2400) by the probability of rolling a 4:
\[ \text{Expected number of 4s} = 2400 \times \frac{1}{6} = 400 \]
In this case, we're looking for the best prediction among the provided options.
The choices were:
- Exactly 400 times
- Close to 400 times but probably not exactly 400 times
- Exactly 600 times
- Close to 600 times but probably not exactly 600 times
Since we expect about 400 rolls of 4, the best prediction is:
Close to 400 times but probably not exactly 400 times.