Suppose one card is drawn at random from a standard deck. What is the probability that the card drawn is a black card and a face card?2 points13/529/526/524/52

In a standard deck of 52 cards, there are 26 black cards (clubs and spades) and 12 face cards (kings, queens, and jacks of all four suits). However, only 6 cards are both black and face cards (king, queen, and jack of clubs and spades).

Step 1: Identify the total number of outcomes. In this case, the total number of outcomes is 52 (since there are 52 cards in a deck).

Step 2: Identify the number of successful outcomes. In this case, the successful outcome is drawing a black face card, of which there are 6 in a standard deck.

Step 3: Use the formula for probability, which is (number of successful outcomes) / (total number of outcomes).

So, the probability of drawing a black face card is 6/52 = 3/26.

Therefore, none of the options provided (13/52, 9/52, 6/52, 24/52) are correct. The correct answer is 3/26.