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Question Number 21405 by Tinkutara last updated on 23/Sep/17

Four dice are rolled. The number of ways  in which at least one die shows 3, is

$$\mathrm{Four}\:\mathrm{dice}\:\mathrm{are}\:\mathrm{rolled}.\:\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{ways} \\ $$$$\mathrm{in}\:\mathrm{which}\:\mathrm{at}\:\mathrm{least}\:\mathrm{one}\:\mathrm{die}\:\mathrm{shows}\:\mathrm{3},\:\mathrm{is} \\ $$

Answered by myintkhaing last updated on 23/Sep/17

1−((5/6)×(5/6)×(5/6)×(5/6))=((671)/(1296))

$$\mathrm{1}−\left(\frac{\mathrm{5}}{\mathrm{6}}×\frac{\mathrm{5}}{\mathrm{6}}×\frac{\mathrm{5}}{\mathrm{6}}×\frac{\mathrm{5}}{\mathrm{6}}\right)=\frac{\mathrm{671}}{\mathrm{1296}} \\ $$

Commented by Tinkutara last updated on 23/Sep/17

Thank you very much Sir!

$$\mathrm{Thank}\:\mathrm{you}\:\mathrm{very}\:\mathrm{much}\:\mathrm{Sir}! \\ $$

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