During a year ending April 30 of that year, there were approximately 5.0 million sales of existing homes in the U.S., of which 1.2 million were sold in the West. During April of that year there were a total of 470,000 existing homes sold in the U.S., of which 110,000 were sold in the West.

a. Find the probability that a home sale in the year ending April 30 of that year, took place in the West, given that the home was sold during April of that year.



b. Find the probability that a home sale in the year ending April 30 of that year, took place in April of that year, given that it took place in the West.