What would happen in a never ending game of tetris were it just gets higher? would it be possible to only get one piece for the duration of the game?

Question

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

Answer 1

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.