One half of the deck is black cards, therefore 26 cards are black.
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5 cards from 52 in a deck = 2,598,960 combinations
5 cards from the 26 black cards in a deck = 65,780 combinations (about 2.531%)
The probability of drawing a black card from a standard deck of 52 cards is 26 in 52, or 1 in 2, or 0.5.