Two number cubes have sides numbered 1-6. If both cubes are rolled at the same time, what is the probability that the numbers on both cubes will be greater than 3?
greater than 3 means 4,5,6
the Pr(greater than 3)=3/6
pr(both greater)=1/2 * 1/2 = .25
To find the probability that the numbers on both cubes will be greater than 3, we need to determine the number of favorable outcomes and the total number of possible outcomes.
The number cube has 6 sides with numbers 1 to 6, and we want to find the probability that the numbers on both cubes will be greater than 3. So, the favorable outcomes are:
- Cube 1: 4, 5, 6 (three possibilities)
- Cube 2: 4, 5, 6 (three possibilities)
To find the total number of possible outcomes, we multiply the number of possibilities for each cube. Since both cubes have 6 sides, the total number of possible outcomes is:
6 (Cube 1) * 6 (Cube 2) = 36
So, there are 3 favorable outcomes and 36 total possible outcomes. Therefore, the probability of rolling numbers greater than 3 on both cubes is:
Favorable outcomes / Total outcomes = 3 / 36 = 1 / 12
Hence, the probability is 1/12.