A fair dice is rolled 6 times and the outcomes are listed.The probability that the list contains exactly 3 numbers is?\[\]I am getting 25/108 but the answer given in the book is 5/108.

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TopNewestI'm getting the same answer as you. 5/108 just seems too low, since it is most likely that you will end up with 3 numbers. – Brian Charlesworth · 1 year, 4 months ago

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sigh– Adarsh Kumar · 1 year, 4 months agoLog in to reply

The correct answer according to me too is \(\frac{25}{108}\). So the answer given in the book is provided wrong. – Sandeep Bhardwaj · 1 year, 4 months ago

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– Adarsh Kumar · 1 year, 4 months ago

How did you get this answer sir?Log in to reply

So required probability=\(\dfrac{20 \times 540}{6^6}=\dfrac{25}{108}\) – Sandeep Bhardwaj · 1 year, 4 months ago

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– Adarsh Kumar · 1 year, 4 months ago

Same thing sir!Thank u!Log in to reply