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When two consecutive whole numbers are randomly selected, what is the probability that one of them is a multiple of 4? Express your answer as a common fraction.

Aug 18, 2019

$$\text{we select two consecutive whole numbers and find their remainder after dividing by 4}\\ \text{the following pairs are possible}\\ (0,1),~(1,2),~(2,3)~(3,0)\\ \text{out of these 4 pairs of remainders 2 of them include 0, i.e.}\\ \text{the original pair had a number divisible by 4}\\ p = \dfrac 2 4 = \dfrac 1 2$$
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