Multiple choice

All the three face cards of spades are removed from a well-shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting black face card

  1. $\displaystyle \frac{6}{49}$
  2. $\displaystyle \frac{3}{49}$
  3. $\displaystyle \frac{5}{49}$
  4. $\displaystyle \frac{4}{49}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Original pack has 52 cards. 3 spade face cards removed, leaving 49 cards. Black face cards are 6 (3 spades, 3 clubs). Since 3 spades are removed, 3 clubs remain. Probability = 3 / 49.

AI explanation

Removing three face cards of spades leaves 49 cards, so the denominator is 49. A standard pack has 6 black face cards initially, but since 3 black face cards of spades are removed, 3 favorable outcomes remain. The probability is 3/49.

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