[tex]B)\frac{5}{36}[/tex]
ExplanationProbability is the likelihood or chance of an event occurring, it can be calculated as follows:
[tex]P(A)=\frac{favourable\text{ outcomes}}{total\text{ outcomes}}[/tex]
so
Step 1
favourbale outcomes
as the sum of th etwo number must be same, the favourable outcomes are:
[tex]\begin{gathered} 5\text{ and 1} \\ 4\text{ and 2} \\ 3\text{ and 3} \\ 1\text{ and 5} \\ 2\text{ and 4} \\ so,\text{ there are 5 favourable outputs} \end{gathered}[/tex]
b) total outcomes
the total combinatios is the product of the outputs for each dice, so
[tex]\begin{gathered} 1\text{ dice= 6 outputs} \\ 2\text{ dice= 6*6=36} \end{gathered}[/tex]
so, there are 36 total outcomes,
c) finally, replace in the formula
[tex]\begin{gathered} P(A)=\frac{favourable\text{outcomes}}{total\text{outcomes}} \\ P(A)=\frac{5}{36} \end{gathered}[/tex]
therefore, the answer is
[tex]B)\text{ }\frac{5}{36}[/tex]
I hope this helps you
