The first probability would be 12/36 because there is a total of 36 chips, and twelve are red (the numerator). IF you reduce this fraction to simplest form, then it would be 1/3.
The second probability would also be 1/3, because the red chip was put back so there are still 36 chips to pick from.
Then, the last step is to multiply 1/3 x 1/3 which would give you 1/9.