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

Practice Questions

Q1
A card is drawn from a standard deck of 52 cards. What is the probability that the card drawn is a heart?
  1. 1/4
  2. 1/13
  3. 1/52
  4. 3/13

Questions & Step-by-Step Solutions

A card is drawn from a standard deck of 52 cards. What is the probability that the card drawn 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 to get 1/4.
  • Probability – Understanding the likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
  • Card Deck Composition – Knowledge of the structure of a standard deck of cards, including the number of suits and cards in each suit.
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