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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 Divisible by 5? - Mathematics

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  divisible by 5?

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Solution

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

Let E5 = event of getting a number divisible by 5
Then E5 = {5, 10, 15, 20}
i.e. n(E5) = 4
Hence, required probability = P(E5) = \[\frac{4}{20} = \frac{1}{5}\]

 

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Exercise 33.3 | Q 33.5 | Page 47
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