(Solved): The Venn diagram below shows the 8 students in Mr. Scott's class. The diagram shows the memberships ...

The Venn diagram below shows the 8 students in Mr. Scott's class. The diagram shows the memberships for the Art Club and the Music Club. Note that "Ivanna" is outside the cirdes since she is not a member of either club. One student from the dass is randomly selected. Let $$A$$ denote the event "the student is in the Art Club." Let $$B$$ denote the event "the student is in the Music Club." Answer each part below. If necessary, consult a list of formulas. (a) Find the probabilities of the events below. Write each answer as a single fraction. $$P(A)=$$ $$P(B)=$$ $$P(A\text{ or }B)=$$ $$P(A\text{ and }B)=$$ $$P(A)+P(B)?P(A\text{ and }B)=$$ (b) select the probability that is equal to $$P(A)+P(B)?P(A$$ and $$B)$$. $$P(A$$ and $$B)$$ $$P(A$$ or $$B)$$ $$P(A)$$ $$P(B)$$