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# Thirty Identical Cards Are Marked with Numbers 1 to 30. If One Card is Drawn at Random, Find the Probability that It Is: A Multiple of 3 Or 5 - Mathematics

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#### Question

Thirty identical cards are marked with numbers 1 to 30. If one card is drawn at random, find the probability that it is:

a multiple of 3 or 5

#### Solution

There are 30 aaards from which one card is drawn.

Total number of elementary events=n(s)=30

From numbers 1 to 30, there are 14 numbers  which is multiple of 3 or 5 i.e {3,5,6,9,10,12,15,18,20,21,24,25,27,30}  favorable number of event =n(E)=14

Probability of selecting a card with a multiple of 3 or 5 = (n(E))/(n(s))=14/30=7/15

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#### APPEARS IN

Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 25: Probability
Exercise 25(B) | Q: 13.3 | Page no. 393

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Solution Thirty Identical Cards Are Marked with Numbers 1 to 30. If One Card is Drawn at Random, Find the Probability that It Is: A Multiple of 3 Or 5 Concept: Type of Event - Complementry.
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