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Hundred identical cards are numbered from 1 to 100. The cards are well shuffled and then a card is drawn. Find the probability that the number on the card drawn is greater than 85. - Mathematics

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Question

Hundred identical cards are numbered from 1 to 100. The cards are well shuffled and then a card is drawn. Find the probability that the number on the card drawn is greater than 85.

Sum

Solution

There are 100 cards from which one card is drawn. 

Total number of elementary events = n(S) = 100 

From numbers 1 to 100, there are 15 numbers which are greater than 85 i.e. {86, 87, ......, 98, 99, 100}

Favorable number of events = n(E) = 15 

Probabilty of selecting a card with a number greater than 85

= `(n(E))/(n(S))`

= `15/100`

= `3/20`  

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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 2.4 | Page 393

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