Final answer:
To find the probability of drawing a card that is a face card, a heart card, or a queen, we divide the number of cards that satisfy these conditions by the total number of cards in the deck. The probability is 11/26.
Step-by-step explanation:
To find the probability of drawing a card that is a face card, a heart card, or a queen, we need to determine the number of cards that satisfy these conditions and divide it by the total number of cards in the deck.
There are 12 face cards in the deck (king, queen, and jack of each suit), 13 heart cards (including the queen), and 4 queens.
However, we need to consider that there are 3 cards that satisfy both conditions (queen of hearts, queen of spades, and queen of diamonds).
So, the number of cards that are a face card, a heart card, or a queen is 12 + 13 - 3 = 22.
Therefore, the probability of drawing such a card is 22/52 = 11/26.
The correct answer is b) (11/26).