In probability theory, what does the term 'independent events' mean?

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Question: In probability theory, what does the term \'independent events\' mean?

Options:

Correct Answer: Events where the outcome of one does not affect the other.

Solution:

Independent events are defined as events where the outcome of one does not affect the outcome of the other, a key concept in probability theory.

In probability theory, what does the term 'independent events' mean?

In probability theory, what does the term 'independent events' mean?

Step 1: Understand what an event is. An event is something that can happen, like flipping a coin or rolling a die.
Step 2: Learn about outcomes. An outcome is the result of an event, like getting heads when you flip a coin.
Step 3: Know what independent means. Independent means that one thing does not influence or change another thing.
Step 4: Apply this to events. Independent events are two or more events where the outcome of one event does not change the outcome of the other event.
Step 5: Example of independent events: If you flip a coin and roll a die, the result of the coin flip (heads or tails) does not affect the result of the die roll (1 to 6).

Independent Events – Events where the outcome of one does not influence the outcome of another.