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

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

Options:

  1. Events that cannot occur at the same time
  2. Events where the outcome of one does not affect the other
  3. Events that are mutually exclusive
  4. Events that are guaranteed to happen

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

Solution:

Independent events are those where the occurrence of one event does not influence the occurrence of another, a key concept in probability.

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

Practice Questions

Q1
In probability theory, what does the term 'independent events' refer to?
  1. Events that cannot occur at the same time
  2. Events where the outcome of one does not affect the other
  3. Events that are mutually exclusive
  4. Events that are guaranteed to happen

Questions & Step-by-Step Solutions

In probability theory, what does the term 'independent events' refer to?
  • 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 independent events. Independent events are two or more events that do not affect each other.
  • Step 3: Think of an example. For instance, flipping a coin and rolling a die are independent events because the result of the coin flip does not change the outcome of the die roll.
  • Step 4: Remember the key idea. If one event happens, it does not change the probability of the other event happening.
  • Independent Events – Events where the occurrence of one does not affect the probability of the other.
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