Michael wants to take French or Spanish, or both. But classes are closed, and he must apply and get accepted to be allowed to enroll in a language class. He has a 50% chance of being admitted to French, a 50% chance of being admitted to Spanish, and a 20% chance of being admitted to both French and Spanish. If he applies to both French and Spanish, the probability that he will be enrolled in either French or Spanish (or possibly both) is
A) 70%
B) 80%
C) 90%
D) 100%

Question

Quizplus · Accepted Answer

To find the probability that Michael will be enrolled in either French or Spanish (or both), we can use the formula for the union of two events: P(A or B) = P(A) + P(B) - P(A and B). Here, P(A) is the probability of being admitted to French (50%), P(B) is the probability of being admitted to Spanish (50%), and P(A and B) is the probability of being admitted to both (20%). Thus, P(A or B) = 50% + 50% - 20% = 80%.

Michael Wants to Take French or Spanish, or Both