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:

Psilocybin

A naturally occurring psychedelic compound produced by more than 200 species of mushrooms, known for its ability to induce altered states of consciousness.

Psychological Dependence

describes a condition where an individual feels compelled to continue a behavior or consume a substance due to emotional or psychological needs.

Physiological Dependence

A condition where the body adapts to a substance, leading to increased tolerance and withdrawal symptoms.

Placebo-controlled

A research design where some participants receive a treatment and others receive a placebo, allowing comparison to assess the treatment's effectiveness.