# 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? The probability of winning the lottery = the probability of choosing all 7 digits correctly. That is:

The probability of choosing the first digit = 1/10

The probability of choosing the 2nd digit = 1/10

The probability of choosing the 3rd digit= 1/10

The proabability of choosing the 4th digit=...

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The probability of winning the lottery = the probability of choosing all 7 digits correctly. That is:

The probability of choosing the first digit = 1/10

The probability of choosing the 2nd digit = 1/10

The probability of choosing the 3rd digit= 1/10

The proabability of choosing the 4th digit= 1/10

The probability of choosing the 5th digit= 1/10

The probability of choosing the 6th digit= 1/10

The probability of choosing the 7th digit= 1/10

Thne the probability of choosing all 7 digits= 1/10*1/10*1/10*1/10*1/10*1/10*1/10= 1/10^7 = 1/10000000

Then the probability of winning  is one in a 10,000,000

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