The Sample Space for Tossing Three Fair Coins Is {HHH $\frac { 3 } { 8 }$

question 105

Multiple Choice

The sample space for tossing three fair coins is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}. What is theprobability of exactly two heads?

• A) \(\frac { 3 } { 8 }\)
• B) 3
• C) \(\frac { 1 } { 2 }\)
• D) \(\frac { 5 } { 8 }\)

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Definitions:

Gradual Emancipation

A series of acts passed in state legislatures throughout the North in the years following the Revolution that freed slaves after they reached a certain age, following lengthy “apprenticeships.”

Free Blacks

Encompasses African Americans who were not enslaved during the period of American history before the Civil War, enjoying a status of legal freedom, though often facing racial discrimination and inequality.

Citizenship Rights

The rights and privileges granted by a state to its citizens, typically including the right to vote, work, and live in the country, and receive protection from the state.

Discriminatory Laws

Legislation that enacts inequality or unfair treatment of individuals or groups based on race, gender, age, or other criteria.