Answer: [tex]\frac{5}{136}[/tex]
Step-by-step explanation:
Given: Number of reference books = 2
Number of fiction books =10
Number of non-fiction books =5
Total books=[tex]2+10+5=17[/tex]
The probability that she randomly picks up a reference book is given by :-
[tex]\text{P(reference)}=\frac{2}{17}[/tex]
Without replacement ,the probability that she randomly picks up a non-fiction book is given by :-
[tex]\text{P(non-fiction)}=\frac{5}{16}[/tex]
Now, the the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book is given by:-
[tex]P(\text{non-fiction}|\text{reference})=\frac{2}{17}\times\frac{5}{16}=\frac{5}{136}[/tex]
