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It depends on how the game is structured, a piece of information that was not given in the answer...

If the numbers are reused, then there are 1 x 107 (ten billion, in the short scale) permutations. Without combinations, then, the probability is 1 x 10-7.

If the numbers are not reused, and we are playing combinatorial, in the style of most state sponsored lotteries, then the number of combinations is (10-3)! / 7!, which is 120, making the probability 1 in 120, or about 0.00833.

There are other possibilities but, again, it depends on the rules, and you did not specify them completely.

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Q: What is the probability of winning a lottery game where the winning numbers is made up of seven digits from 0 to 9 chosen at random?
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What is the probability of choosing the 8 winning lottery numbers when the numbers are chosen at random from 0 - 9?

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What is the probability of winning a lottery game where the winning number is made up of seven digits from 0 to 9 chosen at random?

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When playing super ball keno should you ever change your numbers?

When playing any well-designed game of chance, it doesn't matter if you always use the same numbers or if you change the numbers each time. Since the winning numbers are drawn randomly, and since we have no knowledge about the distribution of the winning numbers, the chance of winning is not at all affected by how the purchased ticket numbers are chosen. The idea of using "special" or "favorite" numbers has only a psychological effect, not an actual effect on the probability of winning.


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How many times has number 25 come out as the bonus number in the lottery?

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