Question

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

• A. $\frac{6}{49}$
• B. $\frac{3}{49}$
• C. $\frac{5}{49}$
• D. $\frac{4}{49}$

Answer 1

The correct option is B $\frac{3}{49}$

Total number of possibilities = $49$ (Since, 3 cards of spade are removed)
Number of black face cards = $3$ (3 cards of clubs)
Thus, required probability = $\frac{3}{49}$