A spinner like the one shown is used in a game. Determine...

A spinner like the one shown is used in a game. Determine the probability of each outcome if the spinner is equally likely to land on each section. Express each probability as a fraction and as a percent.
$P(\text { multiple of } 3)$

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Key Concepts

Probability

Probability is the branch of mathematics that quantifies the likelihood of an event by comparing the number of favorable outcomes to the total number of possible outcomes. It provides a numerical value, between 0 and 1, representing how likely an event is to occur.

Equally Likely Outcomes

When outcomes are equally likely, each outcome has the same chance of occurring. This assumption simplifies the calculation of probability because it allows the probability of an event to be calculated as the ratio of the number of favorable outcomes to the total number of outcomes.

Favorable Outcome Identification

This concept involves determining which outcomes of an event satisfy a given condition. In probability problems, accurately identifying the set of outcomes that meet the criteria (for example, outcomes that are a multiple of a particular number) is essential for correctly calculating the probability.

Fraction and Percent Conversion

Probabilities are often expressed both as fractions and as percentages. Converting a fraction to a percent involves dividing the numerator by the denominator and then multiplying the result by 100, providing an alternative representation that can be more intuitive for interpretation.

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