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