A card is drawn from a standard deck of 52 cards. What is the probability that i
Practice Questions
Q1
A card is drawn from a standard deck of 52 cards. What is the probability that it is a heart?
1/4
1/13
1/2
1/3
Questions & Step-by-Step Solutions
A card is drawn from a standard deck of 52 cards. What is the probability that it is a heart?
Correct Answer: 1/4
Step 1: Understand that a standard deck of cards has 52 cards in total.
Step 2: Know that there are 4 suits in a deck: hearts, diamonds, clubs, and spades.
Step 3: Realize that each suit has the same number of cards, which is 13.
Step 4: Identify that the suit we are interested in is hearts, and there are 13 hearts in the deck.
Step 5: To find the probability of drawing a heart, use the formula: Probability = (Number of favorable outcomes) / (Total number of outcomes).
Step 6: Substitute the numbers into the formula: Probability = 13 (hearts) / 52 (total cards).
Step 7: Simplify the fraction: 13/52 = 1/4.
Step 8: Conclude that the probability of drawing a heart is 1/4.
Probability – The likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
Card Deck Composition – Understanding the structure of a standard deck of cards, which consists of 52 cards divided into 4 suits, each containing 13 cards.
