Problem

A card is drawn from a standard deck of 52 playing cards.
Find the probability that the card is an ace or a heart.
$17 / 52$
$16 / 52$
$1 / 4$
$1 / 13$

Answer

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Answer

Final Answer: The probability that the card drawn is an ace or a heart is \(\boxed{\frac{16}{52}}\) or approximately \(\boxed{0.31}\) when rounded to two decimal places.

Steps

Step 1 :The problem is asking for the probability of drawing an ace or a heart from a standard deck of 52 cards.

Step 2 :There are 4 aces and 13 hearts in a deck. However, one of the aces is a heart, so we need to avoid double counting.

Step 3 :Therefore, the total favorable outcomes are 4 (for the aces) + 13 (for the hearts) - 1 (for the ace of hearts that got double counted) = 16.

Step 4 :The total possible outcomes are 52 (the total number of cards in the deck).

Step 5 :So the probability is the ratio of favorable outcomes to possible outcomes, which is \(\frac{16}{52}\).

Step 6 :Final Answer: The probability that the card drawn is an ace or a heart is \(\boxed{\frac{16}{52}}\) or approximately \(\boxed{0.31}\) when rounded to two decimal places.

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