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The answer depends on whether or not the first card is replaced before drawing the second.
The probability a drawing a court card (jack, queen, or king) from a standard deck of 52 cards is 12 in 52, or 3 in 13, or about 0.2308.
There are 6 red face cards in a standard deck of 52 cards; the Jack, Queen, and King of Hearts and Diamonds. The probability, then, of drawing a red face card from a standard deck of 52 cards is 6 in 52, or 3 in 26, or about 0.1154.