this is my first question on the website.
When I took probability, one of the first questions in my textbook was this:
What is the probability of drawing an ace in a standard 52-card deck?
That one was pretty easy, thankfully. The next one threw me for a loop...
Take the top card away from the deck. What is the probability of drawing an ace?
And the answer was the same as the first one! I can't remember how my professor explained it, but I feel the intuition at least. All one card removals are equally likely: it's almost like still having the original 52 cards. But I'm still bothered. "The question is how to understand this."
Hope someone can help.