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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. If the queen is drawn

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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.

If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace? (b) a queen?

Sum
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Solution

The queen is drawn and put aside.

∴ Only 5 − 1 = 4 cards are left

Total number of possible outcomes = 4

(a) Total number of aces = 1

P (getting an ace)  = `1/4`

(b) As queen is already drawn, therefore, the number of queens will be 0.

∴ Number of favourable outcomes= 0

P (getting a queen)  = `0/4 = 0`

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Chapter 14: Probability - EXERCISE 14.1 [Page 215]

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NCERT Mathematics [English] Class 10
Chapter 14 Probability
EXERCISE 14.1 | Q 15. (ii) | Page 215
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