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Of 240 students, 176 are on the honor roll, 48 are members of the varsity team, and 36 are in the honor roll and are also members of the varsity team. What is the probability that a randomly selected student is on the honor roll or is a member of the varsity team?

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Given:

Students on the honor roll (H) is 176

Varsity team members (V) are 48

Students on the honor roll and are also members of the varsity team (H and V) = 36

These are not mutually exclusive events. Hence,

Probability (H or V) = Probability (H) + Probability (V) – Probability (both H and V)

= 176/240 + 48/240 – 36/240= 188/240 or 47/60

Probability (H or V) = 47/60 or 78.33%