Question

You are playing a game that uses two fair number cubes. If the total on the number cubes is either 6 or 10 onyour next turn, you win the game. What is the probability of winning on your next turn? Express your answer asa percent. If necessary, round your answer to the nearest tenth.O 1.2%O 13.9%O 77.8%O 22.2%

Answer 1

When rolling two dice the possible outcomes are:

Probability is calculated as follows:

`\text{probability = }\frac{\text{ number of favorable outcomes}}{total\text{ number of outcomes}}`

There is a total of 6x6 = 36 possible outcomes. From the table, we can see that 5 of them are a 6 and 3 of them are a 10. Then, the number of favorable outcomes is 5 + 3 = 8. Therefore, the probability of winning on your next turn is:

`\begin{gathered} \text{probability = }(8)/(36) \\ \text{probability = }0.222 \\ \text{ Expressed as a percent, that is,} \\ \text{probability = }0.222\cdot100=22.2\text{ \%} \end{gathered}`