Multiple choice

A card is drawn from a pack of 52 cards and it is thrown away. Then another card is drawn, the probability that it is a queen.

  1. 1/4

  2. 1/52

  3. 4/13

  4. 1/13
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D Correct answer
Explanation

The probability of drawing a queen from a full deck is 4/52 = 1/13. Since the first card drawn is unknown, the probability of the second card being a queen remains 1/13.

AI explanation

The probability calculation uses the law of total probability by considering the two possible scenarios for the first card drawn. If the first card was a queen, the probability of drawing another queen from the remaining 51 cards is 3/51; if it was not a queen, the probability is 4/51. This gives a total probability of (4/52 times 3/51) plus (48/52 times 4/51), which simplifies to 4/52 or 1/13.

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