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A number is selected at random from 1 through 100, inclusive. What is the probability that the number is a multiple of 8?

 Apr 5, 2021
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this way is probably not the most efficient way to do it, but i just listed out all the multiples of 8 that are between 1 and 100.

 

here is the list:

 

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96.

 

when you count, there are 12 multiples of 8.

 

so the answer is 12/100, or 3/25. 

 

 

another method to solve this is to simply do 100 / 8, which is just 12 remainder 4.

 

since the quotient is 12, that means there are 12 multiples of 8 in between 1 and 100.

 

 

 

hope this helped! please let me know if you are confused about anything i did smiley

 Apr 5, 2021
edited by idyllic  Apr 5, 2021

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