A single, standard number cube is tossed. What is the probability of getting a number greater than 3?
There are six equally likely outcomes when rolling a standard number cube: 1, 2, 3, 4, 5, or 6.
Out of these six outcomes, there are only two that are greater than 3: 4 and 5.
Therefore, the probability of getting a number greater than 3 is 2/6 or 1/3.
This can also be written as a decimal or percentage:
- 0.33 (rounded to the nearest hundredth)
- 33.33% (rounded to the nearest hundredth)
To find the probability of getting a number greater than 3 on a single, standard number cube, we need to determine the number of favorable outcomes (getting a number greater than 3) and the total number of possible outcomes.
A standard number cube has 6 faces, numbered 1 to 6. Since we want to find the probability of getting a number greater than 3, we need to determine how many numbers on the cube are greater than 3.
The numbers greater than 3 on the cube are: 4, 5, and 6. So, there are 3 favorable outcomes.
Since there are a total of 6 possible outcomes (numbers 1 to 6), the probability of getting a number greater than 3 is given by:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes = 3 / 6
Simplifying this fraction gives us:
Probability = 1/2
Therefore, the probability of getting a number greater than 3 on a single, standard number cube is 1/2 or 0.5.