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Suppose we want to pick two numbers from {1,2,⋯,100} randomly. What is the probability that the sum of the two picked numbers is divisible by 4?

 Jul 21, 2022
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100 C 2 ==4,950 ways of picking 2 numbers.

 

Of those 4,950 combinations, there are:

 

25  x  49 == 1225 ways of getting multiples of 4.

 

Therefore, the probability is: 1225 / 4950 ==49 / 198

 Jul 21, 2022

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