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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: a Multiple of 3 - ICSE Class 10 - Mathematics

ConceptType of Event - Complementry

#### 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:

a multiple of 3

#### Solution

There  are 9 cards from which one card is drawn.

Total number of elements events = n(s)=9

From numbers 2 to 10, there are  3 numbers which are multiples of 3 i.e 3,6,9

favorable number of events =n(E)=3

Probability of selecting card with a multiple of  3= (n(E))/(n(s))=3/9=1/3

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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: a Multiple of 3 Concept: Type of Event - Complementry.
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