Question

You are playing a game that uses two fair number cubes. If the total on the number cubes is either 11 or 2 on your next turn, you win the game. Whatpreitacility of wiring on your next turn? Express your answer as a percent. If necessary, round your answer to the nearest tenth.

Answer 1

Given the word problem, we can deduce the following information:

1. The game uses two fair number cubes.

2. If the total on the number cubes is either 11 or 2 on your next turn, you win the game.

To determine the probability of winning the next turn, we note that the two cubes have 36 possible outcomes since each dice has six combinations which are independent.

Rolling a 2 would have one possible outcome: (1,1)

Rolling an 11 would have two possible outcomes: (5,6) and (6,5)

So there would be three possible outcomes out of 36:

`\begin{gathered} P=(3)/(36) \\ =(1)/(12) \end{gathered}`

The combined probability,P, is 1/12. We express this into percent by:

`\begin{gathered} P=(1)/(12)(100) \\ =8.3 \end{gathered}`

Therefore, the answer is 8.3%.