SOLUTION: 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

Algebra ->  Probability-and-statistics -> SOLUTION: 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      Log On


   



Question 860223: 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:
= chocolate chosen
= strawberry chosen
= vanilla chosen
= ice cream on a cone
ice cream in a cup
Find the probability that the ice cream was sold on a cone and was strawberry flavor

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Recommend quickly doing a little table to keep things straight
cone cup
Choc 45% 75% 25%
SBerry 30% 60% 40%
vanilla 25% 40% 60%
Probability of the following choices
chocolate chosen = .45
strawberry chosen = .30
vanilla chosen = .20
ice cream on a cone = .75%2A.45+%2B+.60%2A.30+%2B+.40%2A.25
ice cream in a cup = 1 - P(cone)
strawberry cone = .60%2A.30
Obviously the chocolate cone the favorite