There are 13 other hearts
there are 3 other aces
so there are 16 small winning cards in the deck of 52
16/52
A card is randomly drawn from a standard $52$-card deck. An ace of hearts wins the grand prize; any other ace or heart wins a small prize. What is the probability of winning a small prize? Express your answer as a common fraction. Assume that a grand prize winner does NOT also win a small prize.
6 answers
its actually 15/52 because there are only 12 other hearts and 3 other aces.
The answer is 15/52
VERIFIED ANSWER --- 15/52
SOLUTION:
There are 13 of hearts in the deck, and 4 aces, and 52 total cards. However, since the ace of hearts does not win a small prize, the answer is NOT (13 + 4) = 17, 17/52. We must subtract one from the total number of hearts and aces, because the ace of hearts takes up one of each of those. Thus, we get (12+3) = 15, 15/52 is the answer.
SOLUTION:
There are 13 of hearts in the deck, and 4 aces, and 52 total cards. However, since the ace of hearts does not win a small prize, the answer is NOT (13 + 4) = 17, 17/52. We must subtract one from the total number of hearts and aces, because the ace of hearts takes up one of each of those. Thus, we get (12+3) = 15, 15/52 is the answer.
It is 15/52 because there are 12 heart cards that are not the ace of hearts and there are 3 ace cards that are not ace of heart. There are 52 total cards you can draw. Therefore, the answer is 15/52.
The answer is 15/52
1 answer