Question

An irregular six-sided die is rolled once. What is the probability of rolling a number less than three?

1) 1/6
2) 1/3
3) 1/2
4) 2/3

Answer 1

To find the probability of rolling a number less than three on a fair, six-sided die, we look at the two favorable outcomes, {1, 2}, out of the total of six possible outcomes, resulting in a probability of 1/3.

Step-by-step explanation:

The question at hand is concerning the concept of probability in mathematics, specifically relating to outcomes of rolling a die. In this scenario, we want to find the probability of rolling a number less than three when using a fair, six-sided die with faces numbered from 1 to 6. To determine this, we analyze the sample space, which includes the numbers {1, 2, 3, 4, 5, 6}. The event of rolling a number less than three only includes the outcomes {1, 2}. Since there are six possible outcomes when rolling a six-sided die, and only two of these outcomes are less than three, the probability is the ratio of favorable outcomes to the total number of possible outcomes, which is 2/6 or reduced to 1/3.