If two six-sided dice are rolled, what is the probability that the total number of spots showing is

greater than 5?

Key Concepts

Probability

Probability is a measure of the likelihood that a particular event will occur, expressed as a number between 0 and 1. In this context, it quantifies the chance of rolling a total greater than 5 with two six-sided dice. Understanding probability involves calculating the ratio of favorable outcomes to the total number of possible outcomes.

Sample Space

The sample space is the set of all possible outcomes of a random experiment. For rolling two six-sided dice, the sample space consists of 36 outcomes, as each die has 6 faces. Identifying the sample space is crucial for calculating probabilities, as it provides the basis for determining how many outcomes meet the criteria of the event in question.

Favorable Outcomes

Favorable outcomes are the specific results of an experiment that satisfy the conditions of the event being analyzed. In this case, favorable outcomes are the combinations of dice rolls that result in a total greater than 5. Counting these outcomes accurately is essential for calculating the probability of the event.