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Question

Five cards - the ten, jack, queen , king and ace of diamonds are well-shuffled with their face downwards. One card is then picked up at random.(i) What is the probability that the card is jack?(ii) If the king is drawn and put aside, what is the probability that the second card picked up is (a)a queen and (b)a ten?

A
(i)17(ii)(a)16,(b)12
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B
(i)16(ii)(a)16,(b)13
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C
(i)15(ii)(a)14,(b)14
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D
(i)14(ii)(a)14,(b)13
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Solution

The correct option is B (i)15(ii)(a)14,(b)14(1) Here, Total cards=5 No. of jack=1 Hence, the no. of favorable outcomes=1 ∴ probability = 15(2) If the king of diamond is drawn then remaining cards =4 (a) No. of queen=1 Hence, the no. of favorable outcomes=1 ∴ probability = 14 (b) No. of ten=1 Hence, the no. of favorable outcomes=1 ∴ probability = 14

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