If you pick a number from between 1 and 25, it means that the sample space considered is 25 i.e. because there are 25 numbers.
In the first round, a number is picked between 1 and 25, this means that the probability of picking that one number from between 1 and 25 is:

In the second round, you can pick 1 number from 25 numbers; making the probability of picking the second number:

Therefore if you pick 2 in the first round OR you pick 9 in the second round, that means:

Therefore the final answer is:
