Question

Kayla rolls two number cubes numbered 1 to 6. What is the probability that the sum of the numbers rolled will be 5?A: 1/19B: 1/9C: 1/8 D: 1/61

Answer 1

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

`\text{Probability =}\frac{n\text{ umber of required outcome}}{n\text{ umber of possible outcomes}}`

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

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