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.
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Events that are _______ cannot occur at the same time.
Events that are _______ cannot occur at the same time.
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A _______ is any event combining two or more simple events.
A _______ is any event combining two or more simple events.
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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 _______.
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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.
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Selections made with replacement are considered to be _______.
Selections made with replacement are considered to be _______.
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At least one is equivalent to _______.
At least one is equivalent to _______.
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The complement of 'at least one' is _______.
The complement of 'at least one' is _______.
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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.
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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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Description
Test your understanding of basic probability concepts with this quiz. Covering terms like sample space and equally likely outcomes, it's a concise way to solidify your knowledge. Perfect for students learning fundamentals of probability theory.
