A card is drawn from a standard deck of 52 cards. What is the probability that the card is a heart given that it is a red card?
Practice Questions
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Q1
A card is drawn from a standard deck of 52 cards. What is the probability that the card is a heart given that it is a red card?
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There are 26 red cards (hearts and diamonds). The probability of drawing a heart given that the card is red is 13/26 = 1/2.
Questions & Step-by-step Solutions
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Q
Q: A card is drawn from a standard deck of 52 cards. What is the probability that the card is a heart given that it is a red card?
Solution: There are 26 red cards (hearts and diamonds). The probability of drawing a heart given that the card is red is 13/26 = 1/2.
Steps: 6
Step 1: Understand that a standard deck has 52 cards, which includes 26 red cards (13 hearts and 13 diamonds).
Step 2: Identify that we are only interested in the red cards since the question specifies that the card drawn is red.
Step 3: Count the number of hearts among the red cards. There are 13 hearts.
Step 4: Count the total number of red cards. There are 26 red cards (hearts + diamonds).
Step 5: Calculate the probability of drawing a heart given that the card is red. This is done by dividing the number of hearts by the total number of red cards: 13 hearts / 26 red cards.
