The maker of a popular chocolate candy that is covered in a...

The maker of a popular chocolate candy that is covered in a thin colored shell has released information about the overall color proportions in its production of the candy, which is summarized in the following table. $$\begin{array}{|c|c|c|c|c|c|c|c|}\hline \text { Color } & {\text { Brown }} & {\text { Red }} & {\text { Yellow }} & {\text { Green }} & {\text { Orange }} & {\text { Tan }} \\ \hline \text { Proportion } & {0.3} & {0.2} & {0.2} & {0.1} & {0.1} & {0.1} \\ \hline\end{array}$$ In Exercises 11–16, a single candy of this type is selected at random from a newly opened bag. What is the probability that the candy has the given color(s)? Red

The maker of a popular chocolate candy that is covered in a thin colored shell has released information about the overall color proportions in its production of the candy, which is summarized in the following table.
$$\begin{array}{|c|c|c|c|c|c|c|c|}\hline \text { Color } & {\text { Brown }} & {\text { Red }} & {\text { Yellow }} & {\text { Green }} & {\text { Orange }} & {\text { Tan }} \\ \hline \text { Proportion } & {0.3} & {0.2} & {0.2} & {0.1} & {0.1} & {0.1} \\ \hline\end{array}$$
In Exercises 11–16, a single candy of this type is selected at random from a newly opened bag. What is the probability that the candy has the given color(s)?
Red

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Key Concepts

Relative Frequency Interpretation

The relative frequency interpretation of probability considers the long-run proportion of times an outcome occurs in repeated trials. Proportions provided in a problem can be directly interpreted as the probabilities of their corresponding outcomes in a single trial.

Probability Distribution

A probability distribution assigns probabilities to each outcome in the sample space. When a random experiment has multiple outcomes with specific proportions or relative frequencies, these proportions serve as the probabilities in the distribution.

Sample Space and Events

The sample space is the set of all possible outcomes of a random experiment. An event is a subset of the sample space to which a probability is assigned. In probability problems, identifying the correct event within the sample space is crucial to finding the probability of that event.

Probability

Probability is the measure of the likelihood that an event will occur. It quantifies the chance or odds of an outcome within a sample space, usually expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

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