From a standard deck, what is the probability of drawing a card that is either an Ace or a Spade?

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Multiple Choice

From a standard deck, what is the probability of drawing a card that is either an Ace or a Spade?

Explanation:
This question tests how to count unions of two groups when they overlap. There are four Aces and thirteen Spades in a standard deck, but the Ace of Spades belongs to both groups, so it would be counted twice if we simply added them. Subtract that overlap: 4 + 13 − 1 = 16 favorable cards. With 52 cards in the deck, the probability is 16/52, which simplifies to 4/13. In probability terms, P(Ace) = 4/52, P(Spade) = 13/52, and P(Ace and Spade) = 1/52; adding the first two and subtracting the overlap gives 4/13.

This question tests how to count unions of two groups when they overlap. There are four Aces and thirteen Spades in a standard deck, but the Ace of Spades belongs to both groups, so it would be counted twice if we simply added them. Subtract that overlap: 4 + 13 − 1 = 16 favorable cards. With 52 cards in the deck, the probability is 16/52, which simplifies to 4/13. In probability terms, P(Ace) = 4/52, P(Spade) = 13/52, and P(Ace and Spade) = 1/52; adding the first two and subtracting the overlap gives 4/13.

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