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A card is drawn from a standard deck of 52 cards. What is the probability that i
A card is drawn from a standard deck of 52 cards. What is the probability that it is a heart?
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Q1
A card is drawn from a standard deck of 52 cards. What is the probability that it is a heart?
1/4
1/13
1/2
1/3
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There are 13 hearts in a deck of 52 cards. The probability is 13/52 = 1/4.
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 it is a heart?
Solution:
There are 13 hearts in a deck of 52 cards. The probability is 13/52 = 1/4.
Steps: 8
Show Steps
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 = 1/4.
Step 8: Conclude that the probability of drawing a heart is 1/4.
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