The probability of drawing a pair of cards from a standard deck of 52 and having those cards be different colors is 26/51, slightly over 50%.

What is the smallest number of cards that need to be removed from the deck so that the probability of drawing a mismatched pair is exactly 50%?

The required smallest number of cards that need to be removed from the deck so that the probability of drawing a mismatched pair is exactly 50 percent is 16.