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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 - ICSE Class 10 - 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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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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