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An Event May Contain Sample Points That Are Not in the Original

question 30

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An event may contain sample points that are not in the original sample space of the experiment.
For example, the experiment of rolling two dice has the following sample space:

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
However, the event of rolling a sum of at least 11 on the two dice is {11, 12}.

Simplify expressions involving polynomial operations.
Analyze and create models based on real-world data.
Simplify expressions involving exponents.
Perform operations with complex numbers.

Definitions:

Observations

The act of monitoring or recording behavior, events, or changes in a systematic way as part of scientific research.

Pseudoscience

Pseudoscience refers to practices or beliefs that claim to be scientific and factual but lack empirical evidence and are not supported by the scientific method.

Behavioral Science

The study of human and animal behavior through observation, experimentation, and analysis.

Describing Behavior

Involves the detailed observation and documentation of actions or responses of individuals in various contexts to understand underlying processes.

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