When rolling a die, the sample space consists of all possible outcomes of the roll. Since a standard die has 6 faces, the possible outcomes are:

$S = \{1, 2, 3, 4, 5, 6\}$

Thus, the sample space has 6 possible outcomes.

Now, let's calculate the probability of getting a 1 or a 2. There are two favorable outcomes (either 1 or 2) out of 6 possible outcomes. The probability is calculated as:

$P(1 \text{ or } 2) = \frac{2}{6} = \frac{1}{3}$

Thus, the correct answer is:

d. 6 possible outcomes; P(1 or 2) = One-third

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Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. What is the probability of rolling an even number on a die?
2. If you roll two dice, what is the sample space for the experiment?
3. What is the probability of rolling a 5 on a die?
4. How do you calculate the probability of getting a sum of 7 when rolling two dice?
5. What is the probability of rolling a number greater than 4 on a die?

Tip: To calculate the probability of an event, divide the number of favorable outcomes by the total number of possible outcomes.