(Solved): The Venn disgram below shows the 10 students in Mr. Martin's class. The diagram shows the membershi ...

The Venn disgram below shows the 10 students in Mr. Martin's class. The diagram shows the memberships for the Softball Club and the Chess Club. Note that "Rafael" is outside the circles tince he is not a member of either club. One student from the class is randomir selected. Let $A$ denote the event "the student is in the Softball Club." Let $B$ denote the event "the student is in the Chess Club," Answer each part below. If necessary, consuit a list of formulas. (a) Find the probabilities of the events below. Write esch answer as a vingle fraction. $\begin{array}{l}P(A)=?\\ P(B)=?\\ P(A\text{ and }B)=?\\ P(A\text{ or }B)=?\\ P(A)+P(B)?P(A\text{ and }B)=?\end{array}$ (b) Select the probability that is equal to $P(A)+P(B)?P(A$ and $B)$. $\begin{array}{l}P(B)\\ P(A\text{ and }B)\\ P(A)\\ P(A\text{ or }?)\end{array}$