An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events:

A_1= chocolate chosen

A_2= strawberry chosen

A_3= vanilla chosen

B= ice cream on a cone

B=ice cream in a cup

Find the probability that the ice cream was chocolate flavor, given that it was sold in a cup.