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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 and 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 and 5 

Solution

There are 30 cards from which one card is drawn. 

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

From numbers 1 to 30, there are 2 numbers which are multiple of 3 and 5 i.e. {15,30} favourable number of events =n(E)=2 

Probability of selecting card with a multiple of 3 and 5=`(n(E))/(n(s))=2/30=1/15` 

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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 and 5 Concept: Type of Event - Complementry.
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