People at a local festival were asked if their favorite dessert was cake or pie. The probability of each result are as follows: • Probability of 0.42 that people liked pie • Probability of 0.90 that people liked cake or pie • Probability of 0.12 that people liked both cake and pie Use a Venn Diagram to support your calculations for the following questions:

a) Determine the probability that a person will like cake.

B) Determine the probability that a person at the festival does not like either of these two desserts.

C) Are the event liking cake and liking pie mutually exclusive or non-mutually exclusive? Justify your answer.