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We are given
Alexio has 100 cards numbered 1-100, inclusive, and places them in a box
so, total number of outcomes =100
now, we have chooses a card from the box at random
that is multiple of 2 , 3 or 5
so, firstly, we will find number of possible outcomes that is multiple of 2 , 3 or 5
Firstly, we will find which can't be multiple of 2, 3 and 5
that will be
={ 1, 7,11,13,17,19 , 23 , 29 , 31 , 37 , 41, 43 , 47 , 49 , 53, 59 , 61 , 67, 71, 77, 79, 83, 89 , 91 , 97 }
so,
number of possible outcomes =100-25=75
now, we can find probability
probability = (number of possible outcomes )/(total number of outcomes)
now, we can plug values
and we get
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