If I put 4 green rabbits and 1 red rabbit into a hat, that's 5 rabbits!
I then make 5 attempts at pulling the red rabbit out of the hat.
If I get a green rabbit I put it back in the hat.
On the first attempt I have a 1 in 5 chance of red rabbit success.
If the first attempt fails, on the second attempt I still have a 1 in 5 chance of red rabbit success.
What is the unlikelihood that I will fail to pull out the red rabbit in 5 attempts?
Although I may never succeed, Is there some magic that makes it more likely that I will get the red rabbit over time?