Question: A tourist decides between two plays, called “Good” (G) and “Bad” (B). The probability of the tourist choosing Good is P(G)=10%. A tourist choosing Good likes it (L) with 70% probability (P(L | G)= .7) while a tourist choosing Bad dislikes it with 80% probability(P(D |B)= .8).

(a) Draw a probability decision tree diagram to illustrate the choices.

(b) Calculate P(L), the probability that the tourist liked the play he or she saw.

(c) If the tourist liked the play he or she chose, what is the probability that he or she chose Good?