If you have three images then you have a one-in-three chance of picking image 1 on the first try. Then you have a one-in-three chance of picking image 1 on the second try: so your chances of picking image 1 twice in a row are one in nine - better than 10%. The same goes for images 2 and 3, so the chances of picking any image twice in a row would be three in nine - or one in three.
If you pick three images there are 3×3×3=27 ways of doing that; but the three images would only be different in 6 of them, so you have a better than 77% chance of having repeats.
And of course if you pick four images then repeats are inevitable.
If there are fifty images in the collection then chances are good there'll be a repeat within the first ten selections.