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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. If a king is drawn first and put aside

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Question

Five cards-ten, jack, queen, king, and an ace of diamonds are shuffled face downwards. One card is picked at random. If a king is drawn first and put aside, what is the probability that the second card picked up is the king?

Sum
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Solution

Total cards initially: 5 (ten, jack, queen, king, ace of diamonds)

When a king is drawn and put aside:

Remaining cards: 4 (ten, jack, queen, ace)

Total possible outcomes: \[n(S') = 4\]

A king:

Number of kings remaining: 0

Probability: \[P(\text{King}) = \dfrac{0}{4} = 0\]

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Chapter 16: Probability - EXERCISE 16.1 [Page 16.20]

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R.D. Sharma Mathematics [English] Class 10
Chapter 16 Probability
EXERCISE 16.1 | Q 11. (ii) (ii) | Page 16.20
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