Respuesta :

The two number cubes rolled together will have 36 possible outcomes shown in the outcome table below;

From the outcome table of the sum of numbers of both cubes shown above,

Number of 5's = 4

Total outcomes = 36

[tex]\text{Probability =}\frac{n\text{ umber of required outcome}}{n\text{ umber of possible outcomes}}[/tex]

[tex]\begin{gathered} \text{Probability (sum of numbers being 5)}=\frac{nu\text{ mber of 5s}}{\text{total outcomes}} \\ P(5)=\frac{4}{36} \\ P(5)=\frac{1}{9} \end{gathered}[/tex]

Therefore, the probability that the sum of the numbers rolled will be 5 is 1/9.

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