One card is drawn at random from a well-shuffled deck of 52 cards. Find the probability that the card drawn is (i) a 4 (ii) a queen (iii) a black card.

(i) Total number cards in a deck = 52


Number of 4’s in a deck of cards = 4


Probability P() =


Probability of drawing a 4 numbered card from the deck of cards P(4)


= = =


(ii) Total number cards in a deck = 52


Number of Queens in a deck of cards = 4


Probability P() =


Probability of drawing a queen from the deck of cards P(queen)


= = =


(iii) Total number cards in a deck = 52


Number of black cards in a deck of cards = 26 (13 spades and 13 clubs)


Probability P() =


Probability of drawing a black card from the deck of cards P(black)


= = =


12