Final answer:
The probability of rolling an even number on a specially designed six-sided die with the numbers 1, 2, 3, 5, 8, and 13 is 2 out of 6, or 1/3.
Step-by-step explanation:
The student wants to calculate the probability of getting an even number by rolling a die with the numbers 1, 2, 3, 5, 8, and 13 on it. In this special die, the even numbers present are 2 and 8. To find the probability, we need to calculate the ratio of the number of even outcomes to the total number of possible outcomes, which in this case is the number of sides on the die.
There are 2 even numbers (2, 8) and 6 possible outcomes. Thus, the probability (P) of rolling an even number is:
P(even number) = Number of even outcomes / Total number of outcomes
= 2 / 6
= 1 / 3
Which means that there is a one in three chance, or approximately a 33.3% chance, to roll an even number on this six-sided die.