Answer:
Explanation:
1. Call A the event of selecting a student who takes Spanish and P(A) the corresponding probability:
- P(A) = number of students who take Spanish / number of students
- P(A) = 550 / 1400 = 11/28
2. Call B the event of selecting a student who takes biology and P(B) the corresponding probability:
- P(B) = number of students who take biology / number of students
3. The joint probability, P(A∩B), is the probability that a student takes Spanish and biology:
- P(A∩B) = number of students that take both Spanish and biology / number of students
4. By the properties of probabilities, the probability of the event A or B is:
- P (A or B) = P (A∪B) = P(A) + P(B) - P(A∩B)
- P(A or B) = 11/28 + 1/2 - 2/7 = (11 + 14 - 8) / 28 = 17/28
