Answer to Question #214456 in Statistics and Probability for Princess

Question

B) Supposed the probability that a student will pass an Economics exam is 1/2, the probability that he will pass an Economics and Management exam is 3/5, and the probability that he will pass an

Economics or a Management exam is 

4/5. Find the probability that the student will pass a management exam.

Answer 1

$$P(E\cup M)=P(E)+P(M)-P(E\cap M)$$

$$P(M)=\dfrac{4}{5}+\dfrac{3}{5}-\dfrac{1}{2}=\dfrac{9}{10}$$