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A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is:

(i) a queen

(ii) a heart

(iii) a red card

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(i) a queen Total numbers of cards are 52 

Number of queen cards = 4 

Probability of getting queen cards is = \(\frac{Total\,number\,of\,queen\,cards}{Total\,number\,of\,cards}\) = \(\frac{4}{52}=\frac{1}{13}\)

(ii) a heart 

Total numbers of cards are 52 

Number of heart cards = 13

Probability of getting queen cards is = \(\frac{Total\,number\,of\,hearts\,cards}{Total\,number\,of\,cards}\) = \(\frac{13}{52}=\frac{1}{4}\)

(iii) a red card

Total numbers of cards are 52

Number of red cards = 13+13 = 26

Probability of getting queen cards is = \(\frac{Total\,number\,of\,red\,cards}{Total\,number\,of\,cards}\) = \(\frac{26}{52}=\frac{1}{2}\)

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