Given an Experiment in Which a Fair Coin Is Tossed

question 1

Multiple Choice

Given an experiment in which a fair coin is tossed three times, the sample space is S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}. Event A is defined as tossing one head (H) . What is the event A^c and what is the probability of this event?

• A) A^c = {TTT, HHH, HTH}; P(A^c) = 0.375
• B) A^c = {TTT, THH, HHH, HHT}; P(A^c) = 0.500
• C) A^c = {TTT, HHH, HHT, HTH, HTT}; P(A^c) = 0.625
• D) A^c = {TTT, HHT, HTH, THH, HHH}; P(A^c) = 0.625

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Definitions:

Missing Value

An absent or unrecorded piece of data in a dataset or equation.

Scheduled Payments

Regular fixed payments made over a period according to a repayment plan, typically for loans or mortgages.

Time Value

The idea that having money now is more valuable than having the same sum later because of the possible earnings it can generate over time.

Economic Value

The worth of a good or service determined by its utility and the market demand, influencing its price.