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The four numbers 4, 5, 6, 7 are randomly inserted into 7 .3 .4 . 6 . 48

The result is a ten-digit number - for example, 7 4 3 5 4 6 6 7 48

How high is the chance, that the number created is divisible by 36?

Id say it is 100%

36 = 4 • 9
this means that the number is exactly divisible by 36, if it is at the same time by 4 and 9.

The constructed number is always divisible by 9, since the sum of all its digits(54) is divisible by 9.

And it is also divisible by 4, because their last two numbers (48) are divisible by 4.

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1  
all 4 numbers? no thing can be excluded? –  jonnytan999 May 13 at 8:05
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Sounds good, iff you have to insert all 4 numbers exactly once. –  Danny May 13 at 8:22
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You are 100% correct ! –  lsp May 13 at 8:24
    
@jonnytan999 yes, all 4 numbers have to be included –  Felix Lahmer May 13 at 8:41
    
then, it shld be correct –  jonnytan999 May 13 at 11:00
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