1. The probabilities that an adult American woman has high blood pressure and/or highcholesterol areBlood PressureHigh OKHigh 0.13 0.15CholesterolOK 0.17 0.55a) What is the probability that a woman has both conditions?b) What is the probability that she has high cholesterol?c) What is the probability that a woman has high cholesterol if it’s known that her bloodpressure is OK?d) Are cholesterol and blood pressure independent?2. Sprite’s Under the Cap promotion claims that 5% of all Sprite bottles are winners. You buy twosix-packs. What is the probability that you do not win anything?3. A real-estate ads suggests that 32% of homes for sale have pools, 15% have a FROG (finishedroom over garage), and 10% have both features.a. If a home for sale has a pool, what is the probability that it has a FROG too?b. Are having a FROG and a pool independent events? Compute and explain.c. Are having a FROG and a pool mutually exclusive events? Compute and explain.