Respuesta :

Let us check out the diagram. The probability that a person buys a paperback is 0.65. The next leafs of the diagram (to the right of choosing paperback) show two events: the event that the buyer who has bought a paperback buys fiction and the probability he buys non-fiction. So 65% of the buyers buy paperback and 0.45 (=45%) of them buy fiction. Hence the probability that they buy both fiction and paperback is 0.65*0.45=0.2925. This is always a helpful thought procedure with such exercises; we can solve the same way for hardcover non-fiction etc.

see the attached figure to better understand the problem

we know that

[tex]0.65\ (65\%)[/tex] of the buyers buy paperback and [tex]0.45\ (45\%)[/tex] of them buy fiction.

Hence

The probability that they buy both fiction and paperback is equal to

[tex]0.65*0.45=0.2925[/tex]

the answer is

[tex]0.2925[/tex]



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