A landscaping company has made phone calls to attract clients for the upcoming season. According data, in 15 percent of these calls it got new customers and 80 percent of these new customers had used the services of a competitor in the previous year. It is also estimated that 60 percent of all the people you called used the services of a rival company in the previous year. So it is TRUE that the odds that a call to a person who used the services of a rival company last year will land a new customer is :
a) 0.2 b) 0.1 c) 0.5 d) 0.9 e) 0.4
I tried to do by conditonal probability:
$$A = New custumers (15%)
B = New custumers who had used services of a competitor in the previus year (80%)$$
It means 80% given 15%
What Am I doing wrong ?
I guess this is the venn diagram :