- #1
Saitama
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Homework Statement
Consider the equation as given ##\displaystyle \frac{1}{x}+\frac{1}{y}=\frac{1}{p}## where ##x, y, z, p \in I^+## and ##p## is a prime number & ##(x,y)## represents the solution pair then
A)probability x<y is 1/3
B)probability that x>y is 5/6
C)probability that x≠y is 2/3
D)probability that x=y is 1/6
(There can be more than one answers correct)
Homework Equations
The Attempt at a Solution
I am a dumb at these probability questions so I need a few hints to start with. The only thing I can think of is start with plugging a few numbers. For p=3, x=y=6, for p=5, x=y=10 but this is definitely not the way to solve the problem. I believe that there is a much better and an elegant way to solve this problem.
Any help is appreciated. Thanks!