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 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 cards left = 23 cards (13 club + 10 spades) 

Event of drawing a black card = E = 23 

n(E) = 23 

Probability of drawing a black card = `(n(E))/(n(S)) = 23/49`