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  • Four fair six-sided dice are rolled. The probability that the sum of the results being 22 is . The value of

Four fair six-sided dice are rolled. The probability that the sum of the results being 22 is x / 1296. The value of X is______.

Option: 1

10


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

Sample space

\mathrm{\begin{aligned} & =\{(1,1,1,1),(1,1,1,2), \ldots \ldots,(6,6,6,6) \\ & =6^4=1296 \end{aligned}}

Favourable cases \mathrm{=\{\text{ sum should be }22 \}=4+6= 10\, ways }
Because sum 22 can occur


\mathrm{So \, \mathrm{P} (sum is 22)}
\mathrm{=\frac{X}{1296}=\frac{10}{1296} }
\mathrm{\Rightarrow x=10 }

Posted by

Suraj Bhandari

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