Final answer:
The probability of rolling an even number on a specially numbered six-sided die with faces labeled 1, 2, 3, 5, 8, and 13 is 1/3 or 33.33%, since there are two even outcomes (2 and 8) among six possible outcomes.
Step-by-step explanation:
To calculate the probability of rolling an even number on a specially numbered six-sided die with faces showing the numbers 1, 2, 3, 5, 8, and 13, we need to identify the even numbers on the die. The even numbers on this die are 2 and 8. Since there are two even numbers out of six possible outcomes, the probability of rolling an even number is the number of even outcomes divided by the total number of outcomes.
So, the probability P(E) of rolling an even number on this die is calculated as follows:
- Count the number of even numbers on the die. There are two even numbers: 2 and 8.
- Count the total number of different outcomes when rolling the die. There are six possible outcomes.
- Divide the number of even outcomes by the total number of outcomes: P(E) = 2/6 or 1/3.
Therefore, the probability of rolling an even number on this die is 1/3 or approximately 33.33%.