5
AssignmentMultiple Choice

The Multiplication Rule for Dependent Events

Question 5 • PISD-Statistics B 4th GP

In a standard deck of 52 cards, each of the four suits has 3 face cards (jack, queen, king), for a total of 12 face cards.You are dealt 3 cards in a row. What’s the probability that only the first two cards are face cards?

Answer
A
0.0100
B
0.0398
C
0.0498
D
0.3333

Explanation

The first card must be a face card: 12 of the 52 cards qualify. After that, 11 face cards remain among 51 cards for the second draw, and the third card must be non-face, so 40 of the 50 remaining cards qualify. Multiply the probabilities: (12/52) × (11/51) × (40/50) ≈ 0.0398, or 3.98%. The correct choice is B, 0.0398.

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