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The digits from 1 to 6 are arranged to form a six-digit multiple of 5. What is the probability that the number is greater than 500,000? Express your answer as a common fraction.

 Apr 4, 2021
 #1
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https://web2.0calc.com/questions/the-digits-from-1-to-6-are-arranged-to-form-a-six-digit-multiple-of-5-what-is-the-probability-that-the-number-is-greater-than-500-000-express-your-answer-as

I think this was answered as well. 

 

However, CPhill and AWESOMEE got different answeres, so I'll try it too. 

Since the number has to be a multiple of 5, the number 5 has to be at the end. _ _ _, _ _ 5. 

Now, I think we need to focus only on the first digit. If that number is 1, 2, 3, or 4, then it'll have to be less than 500,000. 

However, if that first digit is 6, then it'll be greater than 500,000. 

My method is similar to AWESOMEEs, which would give you the answer 1/5. 

 

=^._.^=

 Apr 4, 2021
 #2
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Thank you! Your answer was actually correct!

RiemannIntegralzzz  Apr 4, 2021

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