$(A)$ 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.

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$(A)$ 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.

$(A)(i)\quad \displaystyle\frac{1}{14}, \quad (ii)\quad \displaystyle\frac{5}{22}, \quad (iii) \quad \displaystyle\frac{1}{11}, \quad (iv)\quad \displaystyle\frac{6}{13} \\ (B)(i)\quad \displaystyle\frac{1}{10}, \quad (ii)\quad \displaystyle\frac{9}{10}$
$(A)(i)\quad \displaystyle\frac{1}{17}, \quad (ii)\quad \displaystyle\frac{9}{22}, \quad (iii) \quad \displaystyle\frac{1}{11}, \quad (iv)\quad \displaystyle\frac{11}{13} \\ (B)(i)\quad \displaystyle\frac{1}{10}, \quad (ii)\quad \displaystyle\frac{9}{10}$
None of these

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Accepted Answer

$(A)(i)\quad \displaystyle\frac{1}{22}, \quad (ii)\quad \displaystyle\frac{9}{22}, \quad (iii) \quad \displaystyle\frac{1}{11}, \quad (iv)\quad \displaystyle\frac{3}{22} \\ (B)(i)\quad \displaystyle\frac{1}{10}, \quad (ii)\quad \displaystyle\frac{9}{10}$

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