Respuesta :
Answer with Step-by-step explanation:
On a bookshelf, there are 5 fiction and 4 nonfiction books.
Total books=5+4=9
P(selecting fiction book)=number of fiction books/total books
= 5/9
Paul randomly selects one, puts it back, and then randomly selects another.
Since, the selections are independent.
and P(A∩B)=P(A)×P(B)
where A and B are independent events
P(both selections were fiction books)
=P(first selection was fiction book)×P(second selection was fiction book)
=[tex]\dfrac{5}{9}\times \dfrac{5}{9}[/tex]
=25/81
Hence, probability that both selections were fiction books is:
d) 25/81
