All the three face cards of spades are removed from a well shuffled pack of cards. A card is then drawn at random from the remaining pack. Find the probability of getting:
(i) a black face card (ii) a queen (iii) a black card.
Total number of cards
Given that face cards of spades are removed.
Remaining number of cards
Number of possible outcomes,
Step : Find the probability of getting a black face card.
All the three face cards of spades are removed. Spade is black in colour.
Let be the event of drawing black face card.
Number of black face card left, (face cards of club)
The probability of getting a black face card
Step : Find the probability of getting a queen.
Number of queen cards left
Let be the event of drawing queen cards.
The probability of drawing queen card
Step : Find the probability of getting a black card.
Total number of black cards
All the three face cards of spades are removed.
Let be the event of drawing black card.
Remaining number of black cards, ( club spade)
The probability of getting a black card