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From 25 Identical Cards, Numbered 1, 2, 3, 4, 5, ……, 24, 25: One Card is Drawn at Random. Find the Probability that the Number on the Card Drawn is a Multiple Of: 3 Or 5 - ICSE Class 10 - Mathematics

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Question

From 25 identical cards, numbered 1, 2, 3, 4, 5, ……, 24, 25: one card is drawn at random. Find the probability that the number on the card drawn is a multiple of: 

 3 or 5 

Solution

There are 25 cards from which one card is drawn 

Total number of elementary events=n(s)=25 

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

Probability of selecting card with a multiple of 3 or 5 

`(n(E))/(n(s))=12/25`

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Solution From 25 Identical Cards, Numbered 1, 2, 3, 4, 5, ……, 24, 25: One Card is Drawn at Random. Find the Probability that the Number on the Card Drawn is a Multiple Of: 3 Or 5 Concept: Type of Event - Complementry.
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