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Probability theory is a mathematical framework for quantifying the uncertainty of random events. It enables us to calculate the likelihood or chance that a particular outcome will occur in a given situation. In the context of rolling dice, every throw is a random event, and the probability is determined by dividing the number of ways an event can occur (favorable outcomes) by the total number of possible outcomes.

When we discuss probability, we often use the term 'experiment' to refer to a procedure with an uncertain set of outcomes. Rolling dice is a perfect example of such an experiment, where we use a probabilistic model to predict what can happen without knowing exactly which outcome will come up in any single roll.

In probability theory, favorable outcomes are the specific results of an experiment that we are interested in. For instance, when rolling two dice, if we want to find the probability of the sum being more than 10, we must first determine which dice combinations (outcomes) would result in this condition being met.

It's essential to remember that a favorable outcome doesn't mean it's 'good' or 'desired'; it's simply any outcome that matches the criteria we've set for the event we're considering. In our example with dice, the favorable outcomes would be the pairs of numbers that, when added together, give a sum greater than 10. This concept is central to determining probabilities, as it's these specific outcomes we count and compare against all the possibilities.

The concept of possible outcomes encompasses all the different, equally likely scenarios that might result from an experiment. In the world of dice rolling, where the dice are fair, each side has an equal chance of landing face up. For a single die, there are 6 possible outcomes (1 through 6), and when rolling two dice, the possible outcomes are the Cartesian product of the outcomes from each die, totaling 36 unique pairings.

Understanding the scope of possible outcomes is crucial when computing probabilities. We always measure our favorable outcomes against the baseline of all the things that could occur, ensuring we have a comprehensive and accurate calculation of our probabilities.