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 10^2219434 different pictures before you start to repeat yourself.
which in turn means that there is now a 1 : 10^2219434 chance that you end up with the same picture as your friend

to put this into perspective

• your chances to win the jackpot in playing lotto are 1 : 1,4 * 10⁸ [source]
• there are approximately 10¹¹ to 10¹² stars in our galaxy [source]
• there are more than 10¹¹ galaxies in the observable universe [source]
• there are 3 to 7 x 10²² stars in the observable universe [source]
• the number of atoms in the observable universe is a minimum of 10⁸⁰ [source]

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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