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 a black face card. 

Answer 1

Total number of cards = 52 

3 face cards of spades are removed 

Remaining cards = 52 – 3 = 49 = number of possible outcomes 

n(S) = 49 

Number of black face cards left = 3 face cards of club 

Event of drawing a black face cards = E = 3 

n(E) = 3 

Probability of drawing a black face card = `(n(E))/(n(S)) = 3/49`