A card is drawn from a pack of cards. What is the probability that it is a queen or a heart?

Answer: The probability of drawing a queen or a heart from a pack of cards is or approximately 0.3077.

To find the probability of drawing a queen or a heart from a standard deck of 52 playing cards, we need to consider the total number of favorable outcomes (queens and hearts) and divide it by the total number of possible outcomes (the total number of cards in the deck).

Total number of queens in a standard deck :

4 (there are 4 queens: Queen of Hearts, Queen of Diamonds, Queen of Clubs, and Queen of Spades).

Total number of hearts in a standard deck :

13 (there are 13 hearts in the deck, including the Queen of Hearts).

However, we need to be careful not to double-count the Queen of Hearts when counting both queens and hearts. Therefore, when counting the total number of favorable outcomes, we count the Queen of Hearts only once.

So, the total number of favorable outcomes is :

4 (queens) + 12 (hearts excluding the Queen of Hearts) = 16.

The total number of cards in the deck is 52.

Now, we can calculate the probability:

Probability of drawing a queen or a heart = Favorable outcomes / Total outcomes Probability = 16 / 52

Probability ≈ 0.3077

So, the probability of drawing a queen or a heart from a standard deck of cards is approximately 0.3077, or approximately 30.77%.