Think About a Plan The United States has a land area of...

Think About a Plan The United States has a land area of about $3,56,278 \mathrm{m}^{2}$. illinois has a land area of about $57,918 \mathrm{m}^{2}$. What is the probability that a location in the United States chosen at random is not in illinois? Give your answer to the nearest tenth of a percent.

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Key Concepts

Uniform Distribution Over an Area

Assuming a uniform distribution across a geographical space means every location is equally likely to be selected. This allows the use of area ratios to determine the probability of a point falling within a particular region.

Conversion to Percentage and Rounding

Converting a probability into a percentage involves multiplying the ratio by 100. Rounding that result to a specified precision, such as the nearest tenth of a percent, ensures the answer is clear and concise.

Probability

Probability measures the chance of an event occurring and is calculated as the ratio of favorable outcomes to the total number of possible outcomes. In spatial problems, this might involve calculating the ratio of a specific area to the total area.

Complement of an Event

The complement of an event includes all outcomes where the event does not happen. When the probability of an event is known, the probability of its complement can be found by subtracting the event’s probability from one.

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