Question

# (A) From a pack of 52 playing cards jacks, queens, kings and aces of red colour are removed. From the remaining, a card is drawn at random. Find the probability that the card drawn is (i) a black queen (ii) a red card (iii) a ten (iv) a picture card [jacks, queens and kings are picture cards](B) All cards of ace, jack and queen are removed from a deck of playing cards. One card is drawn at random from the remaining cards. Find the probability that the card drawn is (i) A face card (ii) Not a face card.

A
(A)(i)122,(ii)922,(iii)111,(iv)322(B)(i)110,(ii)910
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B
(A)(i)114,(ii)522,(iii)111,(iv)613(B)(i)110,(ii)910
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C
(A)(i)117,(ii)922,(iii)111,(iv)1113(B)(i)110,(ii)910
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D
None of these
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Solution

## The correct option is A (A)(i)122,(ii)922,(iii)111,(iv)322(B)(i)110,(ii)910(a) Total cards = 52−8=44(i) No. of queens of black colour = 2 ∴ probability = 244=122(ii) No. of red cards =26−8=18∴ probability = 1844=922(iii) no. of tens = 4∴ probability = 444=111(iv) No. of remaining picture cards =2+2+2=6∴ probability = 644=322(b) Total cards = 52−12=40(i) No. of remaining face cards (only Kings are remaining) = 4∴ probability = 440=110(ii) No. of cards that are not face cards = 36∴ probability = 3640=910

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