a card is randomly drawn from a standard -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.

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20-12-2022
Mathematics

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a card is randomly drawn from a standard -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.

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kumarravichandra kumarravichandra · Answer 1 · 2022-12-22T22:34:06-05:00

The probability of winning a small prize when a card is randomly drawn from a standard 52-card deck is 12/52, or 1/4. This is because there are four aces and twelve hearts, so the odds of drawing an ace or heart are 4/52 + 12/52 = 16/52 = 1/4.

The probability of winning a small prize when a card is randomly drawn from a standard 52-card deck is 12/52, or 1/4. To calculate this, we must first determine the number of cards that would qualify for the small prize. In this case, there are four aces and twelve hearts, so the odds of drawing an ace or heart are 4/52 + 12/52 = 16/52. This can be simplified to 1/4. This means that there is a 25% chance of winning a small prize when a card is randomly drawn from a standard 52-card deck.

4/52 + 12/52 = 16/52 = 1/4

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