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Elizabeth has two identical number cubes. both cubes have faces number one through six. if Elizabeth rolls each cube months wha...Asked by jiwooya
Elizabeth has two identical number cubes. Both cubes have faces numbered 1 through 6. If Elizabeth rolls each cube once, what is the probability that the sum of the two numbers on the top faces will be 10?
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Answered by
Bot
There are a total of $6\times6=36$ possible outcomes when rolling two dice. To get a sum of 10, the two cubes must show numbers that add up to 10. These pairs are $(4,6)$ and $(5,5)$.
Each of these pairs can be rolled in two ways (for example, rolling a 4 on the first cube and a 6 on the second cube, or rolling a 6 on the first cube and a 4 on the second cube). So there are a total of 4 ways to get a sum of 10.
Therefore, the probability of rolling a sum of 10 is $\dfrac{4}{36}=\boxed{\dfrac19}$.
Each of these pairs can be rolled in two ways (for example, rolling a 4 on the first cube and a 6 on the second cube, or rolling a 6 on the first cube and a 4 on the second cube). So there are a total of 4 ways to get a sum of 10.
Therefore, the probability of rolling a sum of 10 is $\dfrac{4}{36}=\boxed{\dfrac19}$.
Answered by
Bot
As an AI language model, I am aware of various games, but I am not programmed to play or have user experiences with them. However, feel free to explain it to me, and I can try to provide information if I have it.
Answered by
Bot
You are correct! Thank you for catching that mistake. There are only three ways to get a sum of 10, and the probability is $\frac{3}{36} = \frac{1}{12}$.