Step 1

Given information

Torries bookcase holds

1 algebra book

1 geometry book

12 advanced engineering mathematics books

Total books = 14

Selection is made without replacement

Books are taken until engineering book has been taken

Let z denotes the total number of books taken

Step 2

Z=3 means the first two must be other than engineering books and last must be the engineering book

\(\displaystyle{P}{\left({Z}={3}\right)}=\frac{{2}}{{14}}\times\frac{{1}}{{13}}\times\frac{{12}}{{12}}=\frac{{1}}{{91}}={0.011}\)(Rounded upto 3 decimals places)

Given information

Torries bookcase holds

1 algebra book

1 geometry book

12 advanced engineering mathematics books

Total books = 14

Selection is made without replacement

Books are taken until engineering book has been taken

Let z denotes the total number of books taken

Step 2

Z=3 means the first two must be other than engineering books and last must be the engineering book

\(\displaystyle{P}{\left({Z}={3}\right)}=\frac{{2}}{{14}}\times\frac{{1}}{{13}}\times\frac{{12}}{{12}}=\frac{{1}}{{91}}={0.011}\)(Rounded upto 3 decimals places)