SOLUTION: The serial number on a $10 bill contains eight non-zero digits. If your $10 bill contains the digit 7 at least once, you win a prize. The probability that your $10 bill will be a p

Question 369915: The serial number on a $10 bill contains eight non-zero digits. If your $10 bill contains the digit 7 at least once, you win a prize. The probability that your $10 bill will be a prize-winning bill is:
Thank you very much!
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Consider the complementary event of a 7 NOT appearing as a digit in the 8 digits. We then have 8 choices for filling 8 spaces. The probability that a 7 will not appear is then, and the probability of a 7 appearing at least once is . That is also the probability for a prize-winning bill.
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