Loading...
GRE
GRE Quantitative Reasoning Section

Probability of Drawing a Heart or Face Card from a Deck

Medium Data Analysis Probability

A deck of standard playing cards contains 52 cards, which include 4 suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards ranging from 2 to 10, and the face cards Jack, Queen, King, and Ace. If one card is drawn randomly from the deck, what is the probability that the card drawn is a heart or a face card?

To solve this problem, remember that there are a total of 13 hearts in the deck and 12 face cards (3 face cards in each suit). However, one of the face cards is also a heart (the King of Hearts). Thus, you must apply the principle of inclusion-exclusion to avoid double-counting the King of Hearts.

Hint

Submitted4.9K
Correct4.8K
% Correct98%