Probability - without replacement

Hello everyone,

I am struggling to understand the right answer here, I really hope you can help me!

The question goes as follows:

*Palpatine pulls out marbles from a bag, this time without replacement. The bag contains a total of *
12 marbles: 4 purple, 3 red, and 5 green.

What is the probability he pulls a purple marble out third? And seventh?

According to Greg it’s always the same probability 3/12… Although if we are pulling out marbles without replacing them the probability is changing:

Purple marble - 3rd pull out
P= 8/12 * 7/11 *4/10

Purple marble - 7nth pull out
P= 8/12 *7/11 *6/10 *5/9 *4/8 *3/7 *4/6

Why is this wrong?

Thank you for your help!!

What about the cases where you pull purple in your first and second pulls?