Answer:
Hence, the probability that a randomly selected reference book is a hardcover is:
0.4
Explanation:
Let A denote the event that the book selected is a reference book.
and B denote the event that the book is hardcover.
Let P denote the probability of an event.
We are asked to find:
P(B|A)
We know that:
![P(B|A)=(P(A\bigcap B))/(P(A))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/au80dp3bav0tybttdmj6gocmkuv3n188t2.png)
From the table we have:
![P(A)=(25)/(60)=(5)/(12)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hd18iunu2i0z0u740bb5xcb7kwgopph7ij.png)
and
![P(A\bigcap B)=(10)/(60)=(1)/(6)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wjefkltolkclyejvab65evsz8g33lzg0kf.png)
Hence, we have:
![P(B|A)=((1)/(6))/((5)/(12))\\\\\\P(B|A)=(2)/(5)\\\\\\P(B|A)=0.4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/a8j6jjv34exsgn6gq71b5lth8gpqt2izo4.png)
Hence, the answer is:
0.4