Q. 113.9( 12 Votes )

# One card is drawn at random from a well-shuffled deck of 52 cards. Find the probability that the card drawn is (i) a king (ii) a spade (iii) a red queen (iv) a black 8.

Answer :

(i) Total number cards in a deck = 52

Number of kings in a deck of cards = 4

Probability P() =

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

= = =

(ii) Total number cards in a deck = 52

Number of spades in a deck of cards = 13

Probability P() =

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

= = =

(iii) Total number cards in a deck = 52

Chances of drawing a Red queen from the deck of cards = 2 (they are queen of hearts and queen of diamonds)

Probability P() =

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

= = =

(iv) Total number cards in a deck = 52

Chances of drawing a black 8 from the deck of cards = 2 (they are 8 of clubs and 8 of spades)

Probability P() =

Probability of drawing a black 8 from a deck of cards P(black 8)

= = =

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