A standard number cubes with the numbers 1 through 6 is rolled. Find the probability of rolling a number greater than 2.
The probability of greater than 2 = 1 - probability of 2.
1 - 1/36 = ?
To find the probability of rolling a number greater than 2 using a standard number cube, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Step 1: Determine the total number of possible outcomes.
A standard number cube has 6 sides, numbered from 1 to 6. Therefore, there are 6 possible outcomes when rolling the cube.
Step 2: Determine the number of favorable outcomes.
We need to count the number of outcomes that are greater than 2. In this case, the favorable outcomes are 3, 4, 5, and 6. So, there are 4 favorable outcomes.
Step 3: Calculate the probability.
The probability of rolling a number greater than 2 is given by the formula:
Probability = Number of favorable outcomes / Total number of possible outcomes.
In this case, the probability will be:
Probability = 4 (number of favorable outcomes) / 6 (total number of possible outcomes).
Simplifying, we get:
Probability = 2/3.
Therefore, the probability of rolling a number greater than 2 is 2/3 or approximately 0.667 (rounded to three decimal places).