Multiple choice

From a pack of cards two are drawn, the first being replaced before the second is drawn. The probability that the first is a diamond and the second is a king will be

  1. $13/4$
  2. $4/13$
  3. $1/52$
  4. $52$.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Probability of drawing a diamond is 13/52 = 1/4. Probability of drawing a king is 4/52 = 1/13. Since the first is replaced, the events are independent. Probability = (1/4) * (1/13) = 1/52.

AI explanation

Since the first card is replaced, these are independent events, meaning we multiply their individual probabilities. The probability of drawing a diamond from 13 diamonds in a 52-card deck is 13/52, or 1/4. The probability of drawing a king from 4 kings in the 52-card deck is 4/52, or 1/13. Multiplying 1/4 by 1/13 gives 1/52. The probability that the first is a diamond and the second is a king is 1/52.

Keep practicing — related questions