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Out of 65 students in the library, 54 students read either fiction or non-fiction. There were 40 students who read fiction and 43 students who read non-fiction. What is the probability that a randomly selected student read both fiction and non-fiction books? Leave answer as a fraction

Respuesta :

Answer:

[tex]\frac{29}{65}[/tex]

Step-by-step explanation:

Since there are 54 students who read either fiction or non-fiction, 40 students who read fiction, and 43 students who read non-fiction, there are [tex]40+43-54=29[/tex] students who read both fiction and non-fiction.

There are 65 students in the library, so the probability a random-selected student will have read both fiction and non-fiction is [tex]\fbox{$\frac{29}{65}$}[/tex].

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