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The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now one card is drawn at random from the remaining cards - Mathematics

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Question

The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now one card is drawn at random from the remaining cards. What is the probability that the card is 10 of hearts?

Sum

Solution

Total number of cards = 52 – 3 = 49

Let E4 = Event of getting 10 of hearts

n(E4) = 1   ...[Because in 52 playing cards only 13 are the heart cards and only one 10 in 13 heart cards]

∴ Required probability = `(n(E_4))/(n(S)) = 1/49`

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Chapter 13: Statistics and Probability - Exercise 13.3 [Page 172]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 13 Statistics and Probability
Exercise 13.3 | Q 29.(ii) | Page 172

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