Here are definitions for the given terms:

1. Random Experiments: A random experiment is an action or process that leads to one of several possible outcomes, where the outcome cannot be predicted with certainty in advance. For example, tossing a coin is a random experiment because you cannot predict whether it will land on heads or tails.

2. Sample Space: The sample space of a random experiment is the set of all possible outcomes of that experiment. For instance, in the case of tossing a coin, the sample space is {Heads, Tails}. If rolling a six-sided die, the sample space is {1, 2, 3, 4, 5, 6}.

3. Mutually Exclusive Events: Mutually exclusive events are events that cannot happen at the same time. In other words, if one event occurs, the other cannot. For example, when rolling a die, the events "rolling a 3" and "rolling a 5" are mutually exclusive because you can't roll both a 3 and a 5 on a single roll.

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Would you like further details on any of these concepts? Here are some related questions to expand on these topics:

1. Can you give an example of a random experiment involving more than two outcomes?
2. How would you describe the sample space for drawing a card from a deck of 52 cards?
3. What is the probability of two mutually exclusive events occurring at the same time?
4. Can mutually exclusive events ever have non-zero probabilities?
5. How does the concept of mutually exclusive events differ from independent events?

Tip: When dealing with probability, always verify whether events are mutually exclusive or independent as this determines how you calculate their probabilities.