Stacy is taking an English class and a History class. Considerthe following even

Question

Stacy is taking an English class and a History class. Considerthe following events: E={get an A in English} H={get an A in History} B={get an A in both English and History} Assume P(E) = 0.70, P(H)=0.60, P(B)=0.50 a) What is the probability that Stacy gets an A in either herEnglish class or her History class? b)Given that Stacy gets an A in her English class, what is theprobability that she gets an A in her history class? c) Are E and H independent events?(explain) Thank you so much ! Stacy is taking an English class and a History class. Considerthe following events: E={get an A in English} H={get an A in History} B={get an A in both English and History} Assume P(E) = 0.70, P(H)=0.60, P(B)=0.50 a) What is the probability that Stacy gets an A in either herEnglish class or her History class? b)Given that Stacy gets an A in her English class, what is theprobability that she gets an A in her history class? c) Are E and H independent events?(explain) Thank you so much !

Explanation / Answer

(a) P(E U H)=P(E)+P(H)-P(B)=0.7+0.6-0.5=0.8 (b) P(H|E)=P(H and E)/ P(E)=0.5/0.7=5/7 (c) E and H are not independent events since P(B) is not 0.

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