35% of students take Spanish or Engineering
30% of students take Spanish
25% of students take Engineering
P(A or B) = P(A) + P(B) - P(A and B)
What is the probability that a student takes Spanish and Engineering?
Let A be the event that a student takes Spanish and B be the event that a student takes Engineering. We want to find the probability that a student takes both Spanish and Engineering.
We are given:
P(A) = 0.3
P(B) = 0.25
P(A or B) = 0.35
We know that
P(A or B) = P(A) + P(B) - P(A and B)
0.35 = 0.3 + 0.25 - P(A and B)
0.35 = 0.55 - P(A and B)
P(A and B) = 0.55 - 0.35
P(A and B) = 0.2
Therefore, the probability that a student takes both Spanish and Engineering is 0.2 or 20%.