G and H are mutually exclusive events. P(G)=0.5 P(H)=0.3. a. Explain

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Question: G and H are mutually exclusive events. P(G)=0.5 P(H)=0.3. a. Explain why the following statement MUST be false: P(H|G)=0.4. b. Find P(H OR G). c. Are G and H independent or dependent events? Explain in a complete sentence.

We are given that: G and H are mutually exclusive events.

Thus   P(G \cap H)=0

and we are also given that: P(G)=0.5 P(H)=0.3.

Part a) Explain why the following statement MUST be false: P(H|G)=0.4.