A standard deck of 52 playing cards (13 with hearts, 13 with diamonds, 13 with clovers, and 13 with spades) is shuffled, and one card is drawn at random. What is the probability of drawing a heart?

Rationale

The probability of drawing a heart from a standard deck of 52 playing cards is 1/4.

In a standard deck, there are 13 hearts out of a total of 52 cards. To find the probability of drawing a heart, you divide the number of favorable outcomes (hearts) by the total number of possible outcomes (cards), which results in 13/52, simplifying to 1/4.

A (01-Mar) YOUR ANSWER

This choice suggests that there is a one in three chance of drawing a heart, implying there are 39 hearts in a deck of 52 cards. However, there are only 13 hearts in the deck, making this probability incorrect.

B (01-Feb) YOUR ANSWER

This option indicates a 50% chance of drawing a heart, which would mean 26 hearts exist in the deck. Since there are only 13 hearts, this probability is also incorrect.

C (01-Apr) CORRECT

This is the correct answer, as there are 13 hearts in the deck of 52 cards. The probability of drawing a heart is calculated as 13/52, which simplifies to 1/4.

D (45670) YOUR ANSWER

This choice is nonsensical in the context of probability, as it suggests an impossible scenario where the ratio of hearts to total cards is expressed as a large number rather than a fraction. It does not represent a valid probability.

Conclusion

The probability of drawing a heart from a standard deck of cards is 1/4, clearly derived from the ratio of the number of hearts to the total number of cards. The incorrect options either misrepresent the actual count of hearts or present illogical probabilities, reinforcing the understanding that accurate probability calculations depend on the ratio of favorable outcomes to total outcomes.

A standard deck of 52 playing cards (13 with hearts, 13 with diamonds, 13 with clovers, and 13 with spades) is shuffled, and one card is drawn at random. What is the probability of drawing a heart?

The probability of drawing a heart from a standard deck of 52 playing cards is 1/4.

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