The number 24 is a multiple of 6, and its reversal, 42, is also a multiple of 6.
What is the probability that the reversal of any randomly-chosen multiple of 6 is also a multiple of 6?
A multiple of 6 has a digit sum that is a multiple of 3 and is even. On reversal it will still be a multiple of 3 and will be even if the original began with an even digit.
Since numbers can only begin with digits 1-9, the probability it will begin with an even digit is 4/9.
So the overall probability is 4/9.
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Posted by Jer
on 2024-02-22 07:06:10 |
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