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Five cards — ten, jack, queen, king, and an ace of diamonds are shuffled face downwards. One card is picked at random.

(i) What is the probability that the card is a queen?

(ii) If a king is drawn first and put aside, what is the probability that the second card picked up is the ace?

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Total no. of possible outcomes = 5 {5 cards}

(i) E ⟶ event of drawing queen

No. favourable outcomes = 1 {1 queen card}

P(E) = (No.of favorable outcomes)/(Total no.of possible outcomes) = 1/5

(ii) When king is drawn and put aside, total no. of remaining cards = 4

Total no. of possible outcomes = 4

E ⟶ event of drawing ace card

No. favourable outcomes = 1 {1 ace card}

P(E) = 1/4

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