Determine the probability


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

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Basic Statistics: Determine the probability
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