The table shows the educational attainment of the U.S....

The table shows the educational attainment of the U.S. population, ages 25 and over. Use the data in the table, expressed in millions, to solve Exercises $33-38$ Find the probability, expressed as a simplified fraction, that a randomly selected American, age 25 or over, has not completed four years (or more) of college.

The table shows the educational attainment of the U.S. population, ages 25 and over. Use the data in the table, expressed in millions, to solve Exercises $33-38$
Find the probability, expressed as a simplified fraction, that a randomly selected American, age 25 or over,
has not completed four years (or more) of college.

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Key Concepts

Probability

Probability is the measure of the likelihood that an event will occur, calculated as the ratio of the number of favorable outcomes to the total number of equally likely outcomes in the sample space.

Sample Space

The sample space is the complete set of all possible outcomes in an experiment. In probability problems, it represents all individuals or items from which selections are made.

Favorable Outcome

A favorable outcome is any outcome that meets the specific condition of the event being analyzed. Identifying favorable outcomes is crucial for determining the correct probability.

Simplified Fraction

A simplified fraction is a fraction in which the numerator and denominator are reduced to their smallest whole numbers by dividing both by their greatest common divisor. It provides a clear and concise representation of a ratio or probability.

Random Sampling

Random sampling is a method of selecting a subset of individuals from a larger population where every individual has an equal chance of being chosen. This approach ensures that the resulting sample is unbiased and representative of the overall population.

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