If you roll two number cubes numbered 1-6, what is the probability of rolling the same number on each cube?
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1/12
Two fair cubes, numbered 1 through 6, are tossed at the same time in order to advance on a game board. What is the probability that a 6 is rolled on both number cubes?
Answers: A- 1/6 B- 1/30 C- 1/36 D- 1/3 Chose out of these for my answer please
To find the probability of rolling the same number on each of the two number cubes, we need to determine the number of favorable outcomes (getting the same number) and the total number of possible outcomes.
Each cube has 6 numbers (1-6), so there are 6 possible outcomes for each cube. Since we have two cubes, the total number of outcomes is 6 * 6 = 36.
Now let's determine the number of favorable outcomes. There are six possibilities where both cubes show the same number: (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6).
So, the number of favorable outcomes is 6.
Therefore, the probability of rolling the same number on each cube is 6/36, which simplifies to 1/6.
To summarize:
- Total number of possible outcomes: 36 (6 * 6)
- Number of favorable outcomes: 6
- Probability of rolling the same number on each cube: 6/36 or 1/6