Final answer:
By multiplying the probability of rolling a number less than 5 (which is 2/3) by 200 rolls, you get approximately 133.33. This indicates that you would expect to roll a number less than 5 around 133 times when a six-sided die is rolled 200 times, even though this exact answer isn't listed in the provided choices.
Step-by-step explanation:
If you roll a six-sided die 200 times, you would expect to land on a number less than 5 in a certain number of those rolls. Numbers less than 5 on a six-sided die are 1, 2, 3, and 4. Since there are 4 favorable outcomes out of 6 possible outcomes, you calculate the expected frequency by multiplying the total number of rolls by the probability of getting a number less than 5.
Thus, the expected number of times you would land on a number less than 5 is (4/6) × 200 rolls = (2/3) × 200 rolls. When you compute this, you get approximately 133.33 rolls. Since we can't roll a die a fractional number of times, we round to the nearest whole number, which gives us 133 rolls.
Even though 133 is not one of the answer choices provided, since the question seems to be a multiple choice with no correct option given, this could be indicative of a typo or an error in the question. You would need to double-check the available options. For actual test-taking scenarios, if the question indeed has a mistake, you would ideally want to alert your teacher or the exam proctor to the discrepancy.