An ice cream vendor sells three flavors chocolate strawberry

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 cone

B2= ice cream in a cup

Find the probability that the ice cream was vanilla flavor, given that it was sold on a cone. Rounded 4 places.

Solution