A die is rolled. Find the probability of getting a number less than 3 or greater than 4.

Key Concepts

Probability

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1. In this context, it quantifies the chance of rolling a specific outcome on a die. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Sample Space

The sample space is the set of all possible outcomes of a random experiment. For a standard six-sided die, the sample space consists of the numbers {1, 2, 3, 4, 5, 6}. Understanding the sample space is crucial for determining the total number of outcomes when calculating probabilities.

Compound Events

Compound events involve the combination of two or more simple events. In this question, we are interested in the event of rolling a number less than 3 (which includes 1 and 2) or greater than 4 (which includes 5 and 6). To find the probability of a compound event, we can add the probabilities of the individual events, ensuring that we account for any overlap.