If a card is drawn from a standard deck of 52 cards, what is the probability tha

Practice Questions

Q1
If a card is drawn from a standard deck of 52 cards, what is the probability that it is a heart?
  1. 1/4
  2. 1/13
  3. 1/2
  4. 1/52

Questions & Step-by-Step Solutions

If a card is drawn from a standard deck of 52 cards, what is the probability that it is a heart?
  • 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 of drawing a heart = 13 (hearts) / 52 (total cards).
  • Step 7: Simplify the fraction 13/52 to get 1/4.
  • Probability Calculation – Understanding how to calculate the probability of an event occurring based on the ratio of favorable outcomes to total outcomes.
  • Card Deck Composition – Knowledge of the composition of a standard deck of cards, including the number of suits and cards in each suit.
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