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A standard die is rolled six times. What is the probability that the product of all six rolls is divisible by 3? Express your answer as a common fraction.

 Dec 14, 2020
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I wrote a short computer code to calculate this probability and the result I got was as follows:

 

The sample space =6^6 =46,656

 

Total products that are divisible by 3  from the above 46,656 =42,560

 

So, the probability is =42,560 / 6^6 ==665 / 729

 

Note:Somebody should check this result, please. Thanks.

 Dec 15, 2020

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