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What is the probability that a randomly selected integer in the set { 1, 2, 3 ... 100 } is divisible by 2 and not divisible by 3? Express your answer as a common fraction.

 Jan 24, 2018
 #1
avatar+129852 
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50 integers in this range are divisible by 2

 

16  of these are also divisible by 3

 

So....the probability that any integer selected is divsible by 2, but not by 3 is

 

[ 50 - 16 ] / 100   =

 

34 / 100  =

 

17 / 50

 

 

cool cool cool

 Jan 24, 2018

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