When rolling a pair of standard six-sided dice, we’re interested in the outcome of the first die specifically. Each die has six faces, numbered from 1 to 6. Among these numbers, the even numbers are 2, 4, and 6.
Let’s break down the calculation of the probability:
- The total number of possible outcomes when rolling a single die is 6.
- The number of favorable outcomes for getting an even number is 3 (the even numbers: 2, 4, and 6).
To find the probability of an event happening, we use the formula:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Applying our values:
Probability = 3 (even outcomes) / 6 (total outcomes) = 1/2
Therefore, the probability of rolling an even number on the first side when a pair of dice is thrown once is 1/2, or 50%. This means there is an equal chance of rolling an even number as there is of rolling an odd number.