The probabilities that an adult man has high blood pressure

The probabilities that an adult man has high blood pressure and7or high cholesterol are shown in the table. What\'s the probability that a man has both conditions? What\'s the probability that he has high blood pressure? What\'s the probability that a man with high blood pressure has high cholesterol? What\'s the probability that a man has high blood pressure if it\'s known that he has high cholesterol? The probability that a man has both conditions is The probability that a man has high blood pressure is The probability that a man with high blood pressure has high cholesterol is The probability that a man has high blood pressure if it\'s known that he has high cholesterol is

Solution

A.

P(man has high blood pressure and high cholestorel) = 0.21

B.

P(a man has high blood pressure) = 0.21+52 = 0.73

C.

P(a man with high blood pressure has high cholestorel) = P(a man has high blood pressure and high cholestorel)/P(a man has high blood pressure) = 0.21/0.73 = 0.29

D.

P(a man has high blood pressure given that he has high cholestorel) = P(a man has high blood pressure and high cholestorel)/P(a man has high cholestorel) = 0.21/(0.21+0.11) = 0.66