Suppose 10% of the people are good at art, and that 40% of the people who are good at art are also good at math. If a person is not good at art, they have only a 30% chance of being good at math. What is the probability that a person who is good at math will also be good at art?
Is my solution correct?:
Let M be person being good at math and A be good at art. Then A’ is being not good at art
By bayes theorem: P(A|M)=0.4*0.1/0.7=0.06