Which of the Following Statements Is Always True for Any

question 184

Multiple Choice

Which of the following statements is always true for any two events A and B defined on a sample space S?

• A)If the complement of event A is the empty set,then event A is the sample space S.
• B)If the union of events A and B is not the empty set,∅ then A ∩ B = ∅.
• C)If events A and B are mutually exclusive,then A ∪ B = S.
• D)If events A and B are collectively exhaustive,then A ∪ B = ∅.

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Definitions:

Slave Girl

Historically, refers to a young female enslaved person, highlighting the gendered aspect of slavery and the specific vulnerabilities faced by women and girls.

Slave Women

Refers to women who were subjected to slavery, deprived of personal freedom and forced to perform labor or services against their will.

Frederick Douglass

A prominent American abolitionist, author, and orator of the 19th century who escaped from slavery and advocated for civil rights.

Sojourner Truth

An African-American abolitionist and women's rights activist, known for her speech "Ain't I a Woman?" and her advocacy for equality and freedom.