G and Hare mutually exclusive events. - P(G) = 0.5 P(H) = 0.3 Part (a) Explain why the following statement MUST be false: PH | G) = 0.4. The events are mutually exclusive, which makes PH AND G) = 0; therefore, PH | G) = 0. The events are mutually exclusive, which means they can be added together, and the sum is not 0.4. The statement is false because P(HIG)=P(H)=0.6. P(G) To find conditional probability, divide P(G AND H) by P(H), which gives 0.5. Part (b) Find P(H OR G). Part (c) Are G and H independent or dependent events? Explain. OG and Hare dependent events because P(G OR H) + 1. There is not enough information to determine if G and Hare independent or dependent events. G and Hare independent events because they are mutually exclusive. G and Hare dependent events because they are mutually exclusive.