probability

digital images are basically only a combination of different colored pixels.
you know the amount of pixels you use and you know the color space you use.
therefore you can calculate with them.

example1
you and a friend of yours take an image consisting of 1 pixel and only use black or white as a color
there is a 50% chance that you end up with the same picture as your friend

example2
you and a friend of yours take an image consisting of 2 x 1 pixels, but still only use black or white as a color
there is now a 25% chance that you end up with the same picture as your friend

example3
you and a friend of yours take an image consisting of 2 x 2 pixels, but still only use black or white as a color
there is now a 6,25% chance that you end up with the same picture as your friend

example4
you and a friend of yours take again an image but this time it's consisting of 640 x 480 pixels, and you are also now using the commonly used RGB color space (3 color channels - each can have a value between 0 and 255)
with this setting you can make now approximately 102219434 different pictures before you start to repeat yourself.
which in turn means that there is now a 1 : 102219434 chance that you end up with the same picture as your friend

to put this into perspective

but still...
in theory it is possible to make two different pictures, and - through the power of mathematics - end up with the same picture

an 8-digit number looks like:

0 0 0 0 0 0 0 0

a 12-digit number looks like:

0 0 0 0 0 0 0 0 0 0 0 0

a 24-digit number looks like:

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

a 10000-digit number looks like:

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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