In probability theory, what does the term 'independent events' mean?
Practice Questions
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Q1
In probability theory, what does the term 'independent events' mean?
Events that cannot occur at the same time.
Events where the outcome of one does not affect the other.
Events that are mutually exclusive.
Events that have the same probability of occurring.
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.
Questions & Step-by-step Solutions
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Q
Q: In probability theory, what does the term 'independent events' mean?
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.
Steps: 5
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).
