A card is drawn from a standard deck of 52 cards. What is the probability that t

A card is drawn from a standard deck of 52 cards. What is the probability that the card is a heart or a queen?

A card is drawn from a standard deck of 52 cards. What is the probability that the card is a heart or a queen?

Step 1: Understand that a standard deck has 52 cards.
Step 2: Identify how many hearts are in the deck. There are 13 hearts.
Step 3: Identify how many queens are in the deck. There are 4 queens.
Step 4: Notice that one of the queens is also a heart. This means we have counted it twice.
Step 5: To find the total number of favorable outcomes (hearts or queens), we add the number of hearts and queens, then subtract the one queen that is a heart: 13 (hearts) + 4 (queens) - 1 (queen that is a heart) = 16.
Step 6: The total number of possible outcomes is still 52 (the total number of cards in the deck).
Step 7: Calculate the probability by dividing the number of favorable outcomes by the total number of outcomes: 16/52.
Step 8: Simplify the fraction 16/52 to get 4/13.

Probability of Combined Events – This question tests the understanding of calculating probabilities for combined events, specifically using the principle of inclusion-exclusion.
Counting Principles – It assesses the ability to count distinct outcomes correctly, particularly when dealing with overlapping categories (hearts and queens).