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.

ColdplayMX Aug 13, 2018

#1**+1 **

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

CPhill Aug 13, 2018