Question- A fair die with its faces numbered from 1 to 6 will be rolled. Which of the following is the best interpretation of the probability that the number landing face up will be less than 3?
Answer- The probability that the number landing face up will be less than 3 is the likelihood of getting a 1 or a 2 on the die. Since there are six equally likely outcomes (1, 2, 3, 4, 5, or 6) when rolling a fair die, the probability of rolling a number less than 3 is 2 out of 6, or 1/3.
Interpretation: If you roll the fair die many times, the proportion of times the number landing face up is less than 3 will converge to 1/3. Alternatively, out of every three rolls, you can expect one roll to result in a number less than 3.
