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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.
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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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