Probability Homework

Question

The Probability of Mary passing the Math diploma is 5/8. The probability of Mary passing the Math and English diploma is 7/16. If the probabilities of passing either diploma exam are independent, whats is the probability that Mary will pass the English diploma?

Answer 1

Well first conceptualize that passing both diplomas means multiplying the fractions together (Passing math x Passing English diploma)

Now you have an equation

Math Diploma x English Diploma= Math and English Diploma

Therefore,

5/8 times x = 7/16

Solve For X.