Write probability as a percent

Probability as a percent communicates the likelihood of an event on a scale from 0% (impossible) to 100% (certain), by expressing an equivalent fraction or decimal multiplied by 100; for equally likely outcomes, the fraction may be formed as favorable outcomes over total outcomes. The understanding includes interpreting values such as 25%, 0.5, and $1/4$ as equivalent probabilities, without extending to more advanced probability models, repeating decimals, or formal statistical inference.

Detailed Explanation: Write probability as a percent

A probability can be written as a percent from $(0\%)$ to $(100\%)$ .

$(0\%)$ means impossible.
$(100\%)$ means certain.
To change a fraction or decimal to a percent, multiply by $(100\%)$ .

Example: A bag has $(12)$ marbles. $3$ are red. What is the probability of choosing a red marble, written as a percent?

Write the probability as a fraction:

\frac{\text{favorable outcomes}}{\text{total outcomes}}=\frac{3}{12}

Simplify the fraction:

\frac{3}{12}=\frac{1}{4}

Change the fraction to a percent. Since $\frac{1}{4}=0.25$ , multiply by $(100\%)$ :

0.25 \times 100\%=25\%

So, the probability of choosing a red marble is $(25\%)$ .

The values $\frac{1}{4}$ , $(0.25)$ , and $(25\%)$ all represent the same probability.

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Probability - Shapes, One Set of One Shape, Two Colors - Pick One by Shape and Color, To Percent

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Write probability as a percent

Detailed Explanation: Write probability as a percent

Learn by doing: Write probability as a percent

Practice with unlimited practice problems

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Probability - Shapes, One Set of One Shape, Two Colors - Pick One by Shape and Color, To Percent