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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]
