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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. - Mathematics

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प्रश्न

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.

योग

उत्तर

There are 9 cards from which one card is drawn.

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

From numbers 2 to 10, there are 5 even numbers i.e. 2, 4, 6, 8, 10 

Favorable number of events = n(E) = 5 

Probability of selecting a card with an even number = `(n(E))/(n(S)) = 5/9`

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अध्याय 25: Probability - Exercise 25 (B) [पृष्ठ ३९३]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 25 Probability
Exercise 25 (B) | Q 1.1 | पृष्ठ ३९३

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Solution:

Suppose ‘S’ is sample space.

∴ n(S) = 52

Event A: Card drawn is a red card.

∴ Total red cards = `square` hearts + 13 diamonds

∴ n(A) = `square`

∴ p(A) = `square/("n"("s"))`   ....formula

∴ p(A) = `26/52`

∴ p(A) = `square`


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