Podcast
Questions and Answers
The​ _______ for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further.
The​ _______ for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further.
sample space
The classical approach to probability requires that the outcomes are​ _______.
The classical approach to probability requires that the outcomes are​ _______.
equally likely
As a procedure is repeated again and​ again, the relative frequency of an event tends to approach the actual probability. This is known as​ _______.
As a procedure is repeated again and​ again, the relative frequency of an event tends to approach the actual probability. This is known as​ _______.
the law of large numbers
When using the​ _______ always be careful to avoid​ double-counting outcomes.
When using the​ _______ always be careful to avoid​ double-counting outcomes.
Events that are​ _______ cannot occur at the same time.
Events that are​ _______ cannot occur at the same time.
A​ _______ is any event combining two or more simple events.
A​ _______ is any event combining two or more simple events.
A picture of line segments branching out from one starting point illustrating the possible outcomes of a procedure is called a​ _______.
A picture of line segments branching out from one starting point illustrating the possible outcomes of a procedure is called a​ _______.
Two events A and B are​ _______ if the occurrence of one does not affect the probability of the occurrence of the other.
Two events A and B are​ _______ if the occurrence of one does not affect the probability of the occurrence of the other.
Selections made with replacement are considered to be​ _______.
Selections made with replacement are considered to be​ _______.
At least​ one is equivalent to​ _______.
At least​ one is equivalent to​ _______.
The complement of​ 'at least​ one' is​ _______.
The complement of​ 'at least​ one' is​ _______.
A​ _______ probability of an event is a probability obtained with knowledge that some other event has already occurred.
A​ _______ probability of an event is a probability obtained with knowledge that some other event has already occurred.
Flashcards
What is a sample space?
What is a sample space?
All possible simple events or outcomes that cannot be broken down any further.
Equally likely outcomes?
Equally likely outcomes?
The classical approach to probability requires that all outcomes have an equal chance of occurring.
What is the Law of Large Numbers?
What is the Law of Large Numbers?
As a procedure repeats, the relative frequency of an event converges to the actual probability.
Avoid double-counting using what rule?
Avoid double-counting using what rule?
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What are disjoint events?
What are disjoint events?
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What is a compound event?
What is a compound event?
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What is a tree diagram?
What is a tree diagram?
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What are independent events?
What are independent events?
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What is selection with replacement?
What is selection with replacement?
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What is 'at least one'?
What is 'at least one'?
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What is the complement of 'at least one'?
What is the complement of 'at least one'?
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What is conditional probability?
What is conditional probability?
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Study Notes
Sample Space
- Represents all possible simple events or outcomes of a procedure that cannot be broken down further.
Classical Probability
- Classical approach requires that all outcomes are equally likely.
Law of Large Numbers
- As a procedure is repeated, the relative frequency of an event approaches its actual probability.
Addition Rule
- Caution is needed to avoid double-counting outcomes when using this rule.
Disjoint Events
- Events that are disjoint cannot occur simultaneously.
Compound Event
- Defined as any event formed by combining two or more simple events.
Tree Diagram
- A visual representation showing branching line segments from a starting point, illustrating possible outcomes of a procedure.
Independent Events
- Two events A and B are independent if the occurrence of one does not affect the probability of the other.
Selections with Replacement
- Such selections are considered independent since the outcome of one selection does not impact the next.
"At Least One"
- This phrase is equivalent to "one or more," indicating that the event can happen once or multiple times.
Complement of "At Least One"
- The complement is "none," signifying that the event does not occur at all.
Conditional Probability
- A conditional probability is assessed with the knowledge that another event has already occurred.
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