An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty...

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:

A1 = chocolate chosen
A2 = strawberry chosen
A3 = vanilla chosen
B = ice cream on a cone
_
B = ice cream in a cup

Find the probability that the ice cream was sold in a cup and was chocolate flavor. Place your answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry.