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When we talk about outcomes in probability, we refer to the different possible results that can occur from a particular experiment or event. In the case of rolling a die, each side of the die represents a distinct outcome. Dies are typically six-sided, with numbers ranging from 1 to 6. Thus, when you roll a die, you have six potential outcomes, which are:

• 1
• 2
• 3
• 4
• 5
• 6

Each number corresponds to one possible way the experiment can conclude. Understanding the total number of possible outcomes is crucial for calculating probabilities. For any roll of a standard die, you have six equally likely outcomes.

In the context of the die roll experiment, odd numbers play a special role. An odd number is an integer that is not divisible by 2 without a remainder. On a die, the odd numbers are easy to identify. From the list of outcomes (1, 2, 3, 4, 5, 6), the odd numbers are:

• 1
• 3
• 5

These numbers are directly relevant when we want to determine the event that the number shown on the die is odd. Recognizing these numbers helps in identifying the subset of possible outcomes for this specific event. Odds and evens are fundamental concepts in understanding various events in probability.

This simple yet classic experiment involves rolling a single six-sided die and observing which face lands upwards. It's a great model for understanding basic probability concepts because it offers an equal chance of any side appearing. To evaluate the occurrence of an odd number event, you only consider the odd numbered faces, which as we identified earlier, are 1, 3, and 5.
In setup, each roll of the die is an independent event, meaning previous rolls do not influence future outcomes. Calculating the probability of an odd result involves dividing the number of favorable odd outcomes by the total possible outcomes:\[ \text{Probability of odd number} = \frac{3}{6} = \frac{1}{2} \] This means there is a 50% chance of an odd number appearing on any given roll. The die roll experiment is a foundational concept in probability, providing a concrete example that helps to visualize more abstract ideas in this field.