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Question

From a set of 17 cards numbered 1 to 17 one is drawn at random. The probability that it is divisible by 3 or 5 is

A
817
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B
517
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C
617
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D
717
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Solution

The correct option is D 717

The numbers less than or equal to 17 which are divisible by 3 are 3,6,9,12,15.

Similarly, the numbers less than or equal to 17 which are divisible by 5 are 5,10,15.

Numbers less than or equal to 17 which are divisible by both 3 and 5 are 1.

Hence, total 5+31=7 numbers are divisible by 3 or 5.
Total number of cards=17
So probability is equal to=717
The correct option is D.


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