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Probability
NCERT Exemplar
CBSE
Grade 10

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 the queen?
(ii) 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?

Step-by-Step Solution

Key Concept: Total initial cards $= 5$.
(i) $P(\text{Queen}) = \dfrac{1}{5}$. [1.0 Mark]
(ii) After removing queen, remaining cards $= 4$.
(a) $P(\text{Ace}) = \dfrac{1}{4}$.
(b) $P(\text{Queen}) = \dfrac{0}{4} = 0$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Part (i) $P(\text{Queen}) = 1/5$: 1.0 Mark
Part (ii) $P(\text{Ace}) = 1/4$ and $P(\text{Queen}) = 0$: 1.0 Mark

Correct Answer:
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