The probability that Leah will make the AA Barracudas is 0.5, and the probability that she will be selected to represent her school in a public-speaking contest is 0.6. The probability of Leah achieving both of these goals is 0.4.
a) Are these two goals mutually exclusive? Explain.
b) Are these two goals independent? Explain.
c) What is the probability that Leah is either makes the Barracudas or is picked for the public-speaking contest?