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20 Cards Are Numbered from 1 to 20. One Card is Drawn at Random. What is the Probability that the Number on the Cards Is Odd? - Mathematics

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Question

20 cards are numbered from 1 to 20. One card is drawn at random. What is the probability that the number on the cards is odd?

Solution

Clearly, the sample space is given by S = {1, 2, 3, 4, 5........19, 20}.
i.e. n(S) = 20 

Let E3 = event of getting an odd number
Then E3 = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}
i.e. n(E3) = 10
Hence, required probability = P(E3) = \[\frac{10}{20} = \frac{1}{2}\]

 

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Chapter 33: Probability - Exercise 33.3 [Page 47]

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RD Sharma Mathematics [English] Class 11
Chapter 33 Probability
Exercise 33.3 | Q 33.3 | Page 47

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