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# A card is chosen at random from a standard deck of 52 cards. What is the probability that it is a King or black (or both)?

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A card is chosen at random from a standard deck of 52 cards. What is the probability that it is a King or black (or both)?

May 28, 2019

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$$P[\text{king or black}] = P[\text{king}]+P[\text{black}]-P[\text{king and black}]\\ P[\text{king or black}] = \dfrac{4}{52}+\dfrac{26}{52}-\dfrac{2}{52}=\dfrac{28}{52}=\dfrac{7}{13}$$

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May 28, 2019

$$P[\text{king or black}] = P[\text{king}]+P[\text{black}]-P[\text{king and black}]\\ P[\text{king or black}] = \dfrac{4}{52}+\dfrac{26}{52}-\dfrac{2}{52}=\dfrac{28}{52}=\dfrac{7}{13}$$