In a deck of cards, what is the probability of drawing a heart given that the card drawn is a red card?
Practice Questions
1 question
Q1
In a deck of cards, what is the probability of drawing a heart given that the card drawn is a red card?
1/2
1/4
1/3
1/5
There are 26 red cards (hearts and diamonds). The number of hearts is 13. Thus, P(Heart | Red) = 13/26 = 1/2.
Questions & Step-by-step Solutions
1 item
Q
Q: In a deck of cards, what is the probability of drawing a heart given that the card drawn is a red card?
Solution: There are 26 red cards (hearts and diamonds). The number of hearts is 13. Thus, P(Heart | Red) = 13/26 = 1/2.
Steps: 6
Step 1: Understand that a standard deck of cards has 52 cards in total.
Step 2: Identify the red cards in the deck. There are two suits that are red: hearts and diamonds.
Step 3: Count the total number of red cards. There are 13 hearts and 13 diamonds, so 13 + 13 = 26 red cards.
Step 4: Determine how many of those red cards are hearts. There are 13 hearts.
Step 5: Calculate the probability of drawing a heart given that the card drawn is a red card. This is done by dividing the number of hearts by the total number of red cards: 13 hearts / 26 red cards.
