We can calculate the odds of getting all different pieces, assuming independent, random choice for each. Basically, the math below works if we assume that choosing each piece is like rolling a die or flipping a coin each time.
7 distinct pieces in each set, right?
There is about a 35% chance when you open one of those boxes that all pieces are different. That means there's about a 65% chance that you will get at least one repeat item.
Whether it should work that way is a different question, but what you've described isn't going to be terribly uncommon.
7 distinct pieces in each set, right?
- First draw odds are 7/7 - you are guaranteed not a repeat because there's nothing to repeat yet.
- Second draw odds are 6/7 - of the 7 possible pieces, 6 would be not match the first one.
- Third draw odds are 5/7 - of the 7 possible pieces, 5 would not match either of the first two.
- Fourth draw odds are 4/7 - of the 7 possible pieces, there are 4 left that don't match any of the first three.
There is about a 35% chance when you open one of those boxes that all pieces are different. That means there's about a 65% chance that you will get at least one repeat item.
Whether it should work that way is a different question, but what you've described isn't going to be terribly uncommon.