Final answer:
The theoretical probability of landing on a 1, 2, or 3 with a standard six-faced die is 3 divided by 6, which simplifies to a probability of 1/2.
Step-by-step explanation:
Finding the Theoretical Probability
To find the theoretical probability of landing on either a 1, 2, or 3, we assume that each number is equally likely to occur and that we are using a standard six-faced die. The probability (P) of an event is the number of favorable outcomes divided by the total number of possible outcomes. For this question, there are 3 favorable outcomes (landing on a 1, 2, or 3) and 6 possible outcomes in total (the numbers on the die).
The calculation would be:
P(1, 2, or 3) = Number of favorable outcomes / Total number of possible outcomes = 3 / 6
Simplifying, we get:
P(1, 2, or 3) = 1/2