Your question is Card Game Probability With Shredding. Take a moment with it on the right.
Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).
Let's play a card game with a standard 52-card deck. I'm the dealer. I will draw 2 cards off the top of the pile. If they are both red, you get them. If they are both black, I get them. If they are 1 red/1 black, they are shredded. What's the probability that after going through all 52 cards, you'll have more cards than I?