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PSAT/NMSQT
PSAT Math Test - Calculator Section

Probability of Participation in Extracurricular Activities

Very Hard Problem Solving And Data Analysis Probability And Statistics

A survey conducted among 120 students at a high school revealed the following about their preferences for extracurricular activities:

- 45 students participate in sports.

- 30 students participate in the arts (music, theater, etc.).

- 25 students participate in both sports and arts.

What is the probability that a randomly chosen student participates in either sports or arts?

Note: Use the principle of inclusion-exclusion to calculate the number of students participating in at least one of the activities.

Hint

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