SOLUTION: Consider all four-digit numbers that can be made from the digits 0-9 (assume that numbers cannot start with 0). What is the probability of choosing a random number from this group

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Question 1197793: Consider all four-digit numbers that can be made from the digits 0-9 (assume that numbers cannot start with 0). What is the probability of choosing a random number from this group that is greater than 8000? Enter a fraction or round your answer to 4 decimal places, if necessary.
Answer by ikleyn(52898) About Me  (Show Source):
You can put this solution on YOUR website!
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Consider all four-digit numbers that can be made from the digits 0-9
(assume that numbers cannot start with 0). What is the probability of choosing
a random number from this group that is greater than 8000?
Enter a fraction or round your answer to 4 decimal places, if necessary.
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These four-digit numbers start from 1000 and stop at 9999.

In all, there are  9999-999 = 9000  such four-digit numbers.



Of them, those numbers that are greater than 8000, start from 8001 and stop at 9999.

In all, there are  9999-8000 = 1999  such numbers.



So, the probability under the problem's question is  

    1999%2F9000 = 0.2221  (rounded as requested).  ANSWER

Solved.