How would I approach this problem?

Three beans are selected from a large jar containing equal amounts of white beans and red beans. An outcome is represented by a string of the sort R WW (meaning the rst bean is red, the second is white, and the third is white). The 8 outoomes are listed below. Assume that each outcome has the same probability. Complete the following. Write your answers as fractions. (a) Check the outcomes for each of the three events below. Then, enter the probability of each event. Outcomes Probability WWW WWR WRW WRR RWW RWR RRW RRR Event A: Awhite bean on the last choice | | l | | | | | | | | | | | | | I: Event B: Exactly one bean is white I | | | | | | | | | | | | | | | I: Event A and B: A white bean on the last I | | I I I I I I I I I I I I I I: choice and exactly one bean is white (b) Suppose exactly one bean is white. (That is, Event B occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event A. Then, enter the probability that Event A occurs given that Event B occurs. Outcomes given exactly one bean is white Probability WRR RWR RRW X 5 ? Event A: A white bean on the last choice O O (c) Give the following probabilities and select the correct option below. P (A and B) = P(B) X 5 ? P(A B) = P (A and B) ? V P(A B) P(B)