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Nine Cards (Identical in All Respects) Are Numbered 2 to 10. a Card is Selected from Them at Random. Find the Probability that the Card Selected Will Be: an Even Number and a Multiple of 3 - ICSE Class 10 - Mathematics

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Question

Nine cards (identical in all respects) are numbered 2 to 10. A card is selected from them at random. Find the probability that the card selected will be:  

an even number and a multiple of 3 

Solution

There are 9 cards from which one card is drawn. 

favorable number of event =n(s)=9 

From numbers 2 to 10, there is one number which is an even number as well as multiples of 3 i.e.6 

favourable number of event = n(E)=1 

probability of selecting card with a multiple of 3

`=(n(E))/(n(s))=1/9`   

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Solution Nine Cards (Identical in All Respects) Are Numbered 2 to 10. a Card is Selected from Them at Random. Find the Probability that the Card Selected Will Be: an Even Number and a Multiple of 3 Concept: Type of Event - Complementry.
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