Statement 1: Picking a red ball from a bag containing red ball is not a random experiment.

Statement 2: Random experiment is completely defined when we know all possible outcomes of that experiment but do not know which outcome will occur.

Which of the following options is correct?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.

A random experiment is defined as an experiment where there is uncertainty about the outcome, but the possible outcomes are known in advance.

So, statement 2 is true.

Picking a red ball from a bag containing only red balls is not a random experiment because there is only one possible outcome, which is getting a red ball.

So, statement 1 is true.

∴ Both the statements are true.

Hence, option 1 is the correct option.