# math

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what is the probability of winning a lottery game where the winning number is made of 6digits from 0-9 chosen at random?

• math -

It is not just a combination of 10 taken 6 at a time because the digits can be repeated, like 2 2 2 3 3 3
Also order matters
So
what is the chance of the first digit being right?
1/10
then the second one?
1/10 not 1/9 because we can use the same digit again
then the third?
1/10
and so on
so
(1/10)^6 = one out of a million

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