Question

You roll a six-sided die 500 times. What is the best prediction for the number of times you roll a number OTHER THAN a 3?

a) 100 times
b) 400 times
c) 300 times
d) 500 times

Answer 1

When a fair six-sided die is rolled 500 times, it is predicted to land on a number other than 3 approximately 416.67 times, which is best approximated by option b) 400 times.

Step-by-step explanation:

The question asks for the best prediction for the number of times a six-sided die, when rolled 500 times, will land on a number other than 3. Since there are six possible outcomes and each side has an equal chance of landing face up, each side is expected to show up approximately 1/6 of the time. Therefore, since the die has 6 sides and 5 of these are not a 3, we anticipate that 5/6 of the time the die will not land on a 3. To find the prediction, we can multiply 5/6 by the total number of rolls:

(5/6) × 500 rolls = approximately 416.67 rolls

This means the best prediction for the number of times a number other than 3 will appear is closest to 416.67, which is best approximated by 400 times (option b).