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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 less than 48. - 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 less than 48.

Sum
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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 47 numbers which are less than 48 i.e. {1, 2, ................, 46, 47}

Favorable number of events = n(E) = 47 

Probability of selecting a card with a number less than 48

= `(n(E))/(n(S))`

= `47/100`  

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