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 calculate the relative frequency of rolling a number less than 6 when rolling a die many times, you need to consider the total number of possible outcomes and the number of outcomes that satisfy the condition (rolling a number less than 6).
A standard die has six sides, numbered 1 to 6. Out of these six numbers, five (1, 2, 3, 4, and 5) are less than 6.
In a single roll of the die, each outcome is equally likely, so the probability of rolling a number less than 6 is 5/6.
To find the relative frequency, you need to repeat the experiment of rolling the die many times and then divide the number of times you roll a number less than 6 by the total number of rolls.
For example, if you roll the die 600 times and the number less than 6 comes up 400 times, the relative frequency would be 400/600, which simplifies to 2/3.
Therefore, the correct answer is A) 2 out of 3.