Answer the following regarding a patient's likelihood to get the flu.

Suppose research suggests that you are far less likely to get flu (F) if you get a flu shot (S). If you don't get the flu shot then you are3times as likely to get the flu.If you get the flue shot, then the likelihood that you will get the flu is0.1. The likelihood that some will get the flu shot0.3. Answer the following and include the equation you are using to determine the probability.

a) What is the probability that a random person will get the flu [Pr(F)]?

b) If a person does get the flu, what is the probability that they had the flu shot [Pr(S | F)]?