Question

From a well-shuffled pack of 52 cards one card is selected at random. Find the probability that the card is(i) an ace of heart.
(ii) a club card.(ii) a face card.
(iv) a queen or a king.

Answer 1

Hey there!!

General information :

Total cards = 52

Clubs = 13

Spades = 13

Hearts = 13

Diamonds = 13

King = 4 ( one in each )

Queen = 4 ( one in each )

Face cards = 12 ( one in each ( queen , king , jack ) )

Ace of heart = 1

Probability = Number of out comes / total number of outcomes

( i ) Ace of heart = ( 1 / 52 )

( ii ) A club card = ( 13 / 52 )

( iii ) A face card = ( 12 / 52 )

( iv ) Queen or king = ( 8 / 52 )

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Answer 2

$\textbf {Hey there, here is the solution.}$

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Total number of cards = 52

.

QUESTION (i) Probability of an ace of heart:

Number of ace of heart in the deck = 1

P(Ace of heart) = 1/52

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QUESTION (ii) Probability of a club card:

Number of club cards in the deck = 13

P( club cards) = 13/52

Simplify:

P( club cards) = 1/4

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QUESTION (iii) Probability of a face card:

Number of face cards in the deck = 12

P( face cards) = 12/52

Simplify:

P( face cards) = 3/13

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QUESTION (iv) Probability of a queen or king card:

Number of queen or king cards in the deck = 8

P( queen or king cards ) = 8/52

Simplify :

P( queen or king cards ) = 2/13

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$\textbf {Cheers}$