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For the members of a book group, the probability of randomly selecting a member who likes to read historical fiction is 47%, the probability of randomly selecting a member who likes to read autobiographies is 42%, and the probability of randomly selecting a member who likes to read both historical fiction and autobiographies is 14%. What is the probability of randomly selecting a member who likes to read historical fiction or autobiographies?

 

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 Dec 18, 2018

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\(P[A\cup B] = P[A]+P[B] - P[A \cap B]\\ A= \{\text{those who like to read historical fiction}\}\\ B = \{\text{those who like to read autobiographies}\}\\ P[A\cup B] = 0.47 + 0.42 - 0.14 = 0.75\)

 

Put the 0.75 in the box... (or it gets the hose)

 Dec 18, 2018

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