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A Card is Drawn at Random Form a Well-shuffled Deck of Playing Cards. Find the Probability that the Card Drawn is Neither a King Nor a Queen. - Mathematics

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Question

A card is drawn at random form a well-shuffled deck of playing cards. Find the probability that the card drawn is neither a king nor a queen.

Short Note

Solution

Let E be the event of getting either a king or a queen. Then, (not E) is the event that drawn card is neither a king nor a queen.     

Then, P(getting a king or a queen ) = `2/13`

Now, ​P (E) + ​P (not E) = 1

∴ ​P(getting neither a king nor a queen ) = `1 - (2/13) = 11/13` 

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Chapter 15: Probability - Exercise 15A [Page 689]

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RS Aggarwal Mathematics [English] Class 10
Chapter 15 Probability
Exercise 15A | Q 35.4 | Page 689
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