In a deck of cards, what is the probability of drawing a heart given that the ca

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Question: In a deck of cards, what is the probability of drawing a heart given that the card drawn is a red card?

Options:

Correct Answer: 1/2

Solution:

There are 26 red cards (hearts and diamonds). The number of hearts is 13. Thus, P(Heart | Red) = 13/26 = 1/2.

In a deck of cards, what is the probability of drawing a heart given that the card drawn is a red card?

In a deck of cards, what is the probability of drawing a heart given that the card drawn is a red card?

Correct Answer: 1/2

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.
Step 6: Simplify the fraction 13/26 to get 1/2.

Conditional Probability – The probability of an event occurring given that another event has already occurred.
Sample Space – Understanding the total number of outcomes relevant to the condition provided.