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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, What is the Probability that the Second Card Picked up is the Ace?

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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 ace?

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Solution

Total no. of possible outcomes = 5 {5 cards}

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) =`"No.of favorable outcomes"/"Total no.of possible outcomes"`

P(E) =1/4 

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Chapter 16: Probability - Exercise 16.1 [Page 21]

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R.D. Sharma Mathematics [English] Class 10
Chapter 16 Probability
Exercise 16.1 | Q 19.2 | Page 21
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