Kyra will toss a number cube that has faces numbered 1 through 6. What is the probability that the cube will land with an even number showing on the top face?
The correct answer and explanation is:
The probability that the number cube will land with an even number showing on the top face is 1/3.
Here’s why:
A standard number cube has six faces, each numbered from 1 to 6. The total number of possible outcomes is 6 because there are six different faces on the cube.
Next, we need to determine how many of these outcomes correspond to an even number. The even numbers on the cube are 2, 4, and 6. These are the favorable outcomes.
So, there are 3 favorable outcomes (the numbers 2, 4, and 6).
The probability of an event happening is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the number of favorable outcomes is 3 (the even numbers), and the total number of possible outcomes is 6 (the faces of the cube).
Thus, the probability of landing on an even number is: favorable outcomestotal outcomes=36=12\frac{\text{favorable outcomes}}{\text{total outcomes}} = \frac{3}{6} = \frac{1}{2}
Therefore, the probability of landing on an even number is 1/2.