Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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# A dice is thrown. Find the probability of getting:(iii) a multiple of 2 or 3. - Mathematics

A dice is thrown. Find the probability of getting a multiple of 2 or 3.

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#### Solution

The sample space of the given experiment is given by
S = {1, 2, 3, 4, 5, 6}
∴ (S) = 6

Let C be the event of occurrence of a multiple of 2 or 3.
Then C = {2, 3, 4, 6}
i.e. n (C) = 4

$\therefore P\left( C \right) = \frac{\text{ Number of outcomes favourable to C } }{\text{ Total number of possible outcomes} } = \frac{n\left( C \right)}{n\left( S \right)} = \frac{4}{6} = \frac{2}{3}$

Concept: Probability - Probability of 'Not', 'And' and 'Or' Events
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Exercise 33.3 | Q 1.3 | Page 45
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