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What is the probabily floor(x)+floor(y) is even? How do I do this without calculus?

 Jan 9, 2021
 #1
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floor x and floor y each have an equal chance of being even or odd.

 

even + even = even

odd+odd = ?

even+ odd = ?

odd + even = ?

 

So what is the prob of the sum being even?

 Jan 9, 2021

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