It was estimated that 30 % of all seniors on a campus were...

It was estimated that $30 \%$ of all seniors on a campus were seriously concerned about employment prospects, $25 \%$ were seriously concerned about grades, and $20 \%$ were seriously concerned about both. What is the probability that a randomly chosen senior from this campus is seriously concerned about at least one of these two things?

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Key Concepts

Inclusion-Exclusion Principle

The inclusion-exclusion principle is a critical method in probability and combinatorics that calculates the probability of the union of two or more events. It does this by adding the probabilities of individual events and then subtracting the probabilities of their intersections to correct for any overcounting.

Union of Two Events

This concept involves determining the probability that at least one of two events occurs. The union of events is calculated by summing the individual probabilities of each event and then subtracting the probability of both events occurring together.

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