Assuming that each game is independent of previous game


The question is New York State has a Quick Draw Lottery where you select a winning number from 1 through 80, then 20 numbers are displayed on the screen. If you number is one of the 20, you win. In general if you pick only one number your chance of winning is 25%. If you play this game 10 times in a row (playing one number each time) and assuming that each game is independent of the previous games, what is the probability you lose the game 10 times in a row?

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Basic Statistics: Assuming that each game is independent of previous game
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