My intuition is telling me that a coin flip would be the worst case scenario, because I think it would be the easiest to hit 10 examples in both categories. Eve

My intuition is telling me that a coin flip would be the worst case scenario, because I think it would be the easiest to hit 10 examples in both categories. Every other mix of probabilities I can come up with would average more rolls of RNG than a coinflip. Am I mistaken?