What is the probability of getting a queen or spade from a set of cards ?

2026

What is the probability of getting a queen or spade from a set of cards ?

  1. A.

    4/13

  2. B.

    1/4

  3. C.

    17/52

  4. D.

    1/52

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Correct answer: A

Key idea: use the union formula P(spade or queen) = P(spade) + P(queen) - P(spade and queen).

  1. Total cards = 52.

  2. Number of spades = 13, so P(spade) = 13/52.

  3. Number of queens = 4, so P(queen) = 4/52.

  4. Queen of spades is counted in both groups, so P(both) = 1/52.

  5. Apply the formula: (13/52) + (4/52) - (1/52) = 16/52 = 4/13. Final answer: 4/13.

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