i might have worded this wrong but what its like is kind of like a 1/7 chance of getting say an I piece, now if a game just never stopped going so an infinite game would it still be possible to only get 1 piece? im very confused on this
In: Mathematics
It would depend on the version of Tetris you play.
Many versions now have a grouped random system. At the start of the game, it randomly arranges the seven possible shapes, and gives you them in that order. Then it randomizes the second shapes again starting on t he 8th drop and once again gives you one copy of each of the seven shapes in that new random order. Repeat every 7 drops.
This makes it impossible to get a single shape more than twice in a row (as last piece of one set and first of the next is the only way to ever see a double identical in a row). In any given chunk of 7 you may have a few duplicates if you have 3 from one set and 4 from the other. But you will never wait longer than 13 moves to get a specific piece you want (had it as first of one set, want another, but it was placed at last of next set).
If you played an infinite game on a true random version… then yes eventually you would get an insanely long chain of a single piece, because when dealing with infinity everything that is at all possible WILL happen eventually.
In Tetris there are 7 pieces. The pieces you get are not drawn randomly from all possible pieces – instead [a random sequence of all 7 unique pieces is drawn and then the player receives it in order](https://tetris.fandom.com/wiki/Random_Generator). It is not possible to receive the same piece more than twice in a row.
There are seven Tetris pieces: Blue Ricky, Orange Ricky, Cleveland Z, Rhode Island Z, Teewee, Smashboy, and Hero. For each individual iteration, there is a one in seven chance of getting a given piece. This is constant, no matter how many pieces have fallen.
If you’re question is, “What are the chances of getting only one type of piece for the whole game?” then the answer is quite different. Since there is a 1/7 chance of getting, say, a Hero for the first block, and a 1/7 chance of getting a Hero as the second block, then there is a 1/7 × 1/7 = 1/49 chance of both the first and second blocks being Heroes.
As you can see, the chances of getting the same piece for every “turn” of a game of Tetris gets smaller by a factor of 1/7 for each block that drops.
Edit: typo correction.
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