According to a report by The Kauffman Foundation and Legal Zoom, 35% of new businesses in 2013 were started by women and 65% of new businesses in 2013 were started by men. Twenty percent of 2013 new businesses started by women had revenues of $ 50,000 and above, whereas 24% of 2013 new businesses started by men had revenues of $ 50,000 and above.
a. If a new business started in 2013 is selected at random and the new business had revenues of $ 50,000 and above, what is the probability that the new business was started by a woman?
b. If a new business started in 2013 is selected at random, what is the probability that the new business had revenues of $ 50,000 and above?