Probability of Students Enjoying Sports

A school is conducting a survey to find out how many students enjoy playing sports, watching sports, or both. In a sample of 200 students, 120 reported that they enjoy playing sports, 90 enjoy watching sports, and 50 enjoy both. Based on this data, what is the probability that a randomly selected student from this sample enjoys either playing sports or watching sports?

Let P(A) be the probability of a student enjoying playing sports, P(B) be the probability of a student enjoying watching sports, and P(A ∩ B) be the probability of a student enjoying both activities.

Use the formula for the probability of the union of two events:

$$P(A ext{ or } B) = P(A) + P(B) - P(A ext{ and } B)$$

Round your final answer to three decimal places.