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Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the die will be 6?A. 16B. 536C. 3136D. 118

Two 6-sided dice are rolled. What is the probability the sum of the two numbers on-example-1

1 Answer

3 votes

B)(5)/(36)

Step-by-step explanation

Probability is the likelihood or chance of an event occurring, it can be calculated as follows:


P(A)=\frac{favourable\text{ outcomes}}{total\text{ outcomes}}

so

Step 1

favourbale outcomes

as the sum of th etwo number must be same, the favourable outcomes are:


\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}

b) total outcomes

the total combinatios is the product of the outputs for each dice, so


\begin{gathered} 1\text{ dice= 6 outputs} \\ 2\text{ dice= 6*6=36} \end{gathered}

so, there are 36 total outcomes,

c) finally, replace in the formula


\begin{gathered} P(A)=\frac{favourable\text{outcomes}}{total\text{outcomes}} \\ P(A)=(5)/(36) \end{gathered}

therefore, the answer is


B)\text{ }(5)/(36)

I hope this helps you

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