Consider the Following Sample Space, S, and Several Events Defined $\cap$

question 32

Multiple Choice

Consider the following sample space, S, and several events defined in it.S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}.F $\cap$ H is ___.

• A){Meagan}
• B){Betty, Patty, Abel, Meagan}
• C)empty, since F and H are complements
• D)empty, since F and H are independent
• E)empty, since F and H are mutually exclusive

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Definitions:

Correspondence Theory

A philosophical theory regarding truth, holding that the truth or falsity of a statement is determined by its correspondence to facts or reality.

Relativism

The doctrine that knowledge, truth, and morality exist in relation to culture, society, or historical context, without absolute universal standards.

Method of Doubt

A philosophical methodology attributed to René Descartes involving skepticism towards one's beliefs to discover what can be known with certainty.

Descartes

René Descartes, a French philosopher, mathematician, and scientist, considered the father of modern philosophy, known for his statement "I think, therefore I am."