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Alexio has 100 cards numbered 1-100, inclusive, and places them in a box. Alexio then chooses a card from the box at random. What is the probability that the number on the card he chooses is a multiple of 2, 3 or 5? Express your answer as a common fraction.

 Aug 13, 2018
 #1
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We have  50 integers that are multiples of 2  from 1 - 100

 

We have   96/6 + 1  = 16 + 1  =  17 additional  integers  that are divisble by 3  [and not 2 or 5 ] from 1 - 100

 

We  have  7   integers  from 1-100  divisible  by  5  [ and not 2 or 3] from 1-100

 

So...the probability  that  he  chooses  a card divisible by 2, 3 or 5  is   [ 50 + 17 + 7 ] / 100  = 74/100 = 37/50

 

 

 

cool cool cool

 Aug 13, 2018

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