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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. - 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. 

Sum

Solution

There are 9 cards from which one card is drawn. 

Total number of elementary events = n(S) = 9 

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

Favorable number of events = n(E) = 1 

Probability of selecting a card with a number which is an even number as well as multiple of 3 = `(n(E))/(n(S)) = 1/9`

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Chapter 25: Probability - Exercise 25 (B) [Page 393]

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Selina Mathematics [English] Class 10 ICSE
Chapter 25 Probability
Exercise 25 (B) | Q 1.3 | Page 393

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