If you roll a die many times, what would you expect to be the relative frequency of rolling a number less than 6?
A) 2 out of 3
To determine the relative frequency of rolling a number less than 6 when rolling a die many times, you need to understand the concept of probability. In this case, a fair six-sided die is assumed, meaning each side has an equal probability of landing face-up.
To calculate the probability of rolling a number less than 6, you need to determine the ratio of the number of favorable outcomes (in this case, the number of sides less than 6) to the number of possible outcomes (which is 6 since there are six sides on the die).
Since there are five sides with numbers less than 6 (1, 2, 3, 4, and 5) and a total of six possible outcomes (1, 2, 3, 4, 5, and 6), the probability of rolling a number less than 6 is 5/6.
The relative frequency, on the other hand, is the ratio of the number of times an event occurs compared to the total number of trials. Assuming a large number of dice rolls, the relative frequency should be close to the calculated probability of 5/6.
Therefore, the answer to the question would be B) 5 out of 6, rather than A) 2 out of 3.