The probability that Jacqueline will be elected to the students’ council is 0.6, and the probability that she will be selected to represent her school in a public-speaking contest is 0.75. The probability of Jacqueline achieving both of these goals is 0.5.[C/6] a) Are these two goals mutually exclusive? Explain your answer.
b) What is the probability that Jacqueline is either elected to the students’ council or picked for the public-speaking contest?
c) What is the probability that she fails to be selected for either the students’ council or the public-speaking contest?