Give the Appropriate Response $\quad$ $\quad$ $\quad$ $\quad$

question 96

Multiple Choice

Give the appropriate response.
-Construct a table showing all possible outcomes and probabilities of tossing 3 fair coins at once.

• A) \(\quad \) \(\quad \) \(\quad \) \(\quad \)\(\quad \) \(\quad \) \(\quad \) \(\quad \)\(\underline{\text { Tossing } 3 \text { Coins }}\) \(\begin{array}{ccccc} \underline{\text { Coin } 1} &\underline{ \text { Coin } 2 }& \underline{\text { Coin } 3 }&\underline{ \text { Outcome } }&\underline{ \text { Probability }} \\ \text { H } & \text { H } & \text { H } & \text { HHH } & 1 / 4 \\ \mathrm{H} & \mathrm{H} & \mathrm{T} & \text { HHT } & 1 / 4 \\ \mathrm{~T} & \mathrm{~T} & \mathrm{H} & \text { TTH } & 1 / 4 \\ \mathrm{~T} & \mathrm{~T} & \mathrm{~T} & \text { TTT } & 1 / 4 \end{array}\)
• B) \(\quad \)\(\quad \)\(\quad \)\(\quad \)\(\quad \)\(\quad \)\(\quad \)\(\quad \)\(\quad \)\( \underline{\text { Tossing } 3 \text { Coins }}\) \(\begin{array}{ccccc} \underline{\text { Coin } 1} & \underline{\text { Coin } 2} & \underline{\text { Coin } 3}& \underline{\text { Outcome}}& \underline{ \text { Probability }}\\ \mathrm{H} & \mathrm{H} & \mathrm{H} & \text { HHH } & 1 / 8 \\ \mathrm{H} & \mathrm{H} & \mathrm{T} & \text { HHT } & 1 / 8 \\ \mathrm{H} & \mathrm{T} & \mathrm{H} & \text { HTH } & 1 / 8 \\ \mathrm{H} & \mathrm{T} & \mathrm{T} & \text { HTT } & 1 / 8 \\ \mathrm{~T} & \mathrm{H} & \mathrm{H} & \text { THH } & 1 / 8 \\ \mathrm{~T} & \mathrm{H} & \mathrm{T} & \text { THT } & 1 / 8 \\ \text { T } & \text { T } & \text { H } & \text { TTH } & 1 / 8 \\ \text { T } & \text { T } & \text { T } & \text { TTT } & 1 / 8 \end{array}\)
• C) \(\quad \)\(\quad \)\(\quad \)\(\quad \)\(\quad \)\(\quad \)\(\quad \)\(\quad \)\(\quad \)\( \underline{\text { Tossing } 3 \text { Coins }}\) \(\begin{array}{ccccc} \underline{\text { Coin } 1} & \underline{\text { Coin } 2} & \underline{\text { Coin } 3}& \underline{\text { Outcome}}& \underline{ \text { Probability }}\\ \text { H } & \text { H } & \text { H } & \text { HHH } & 1 \\ \text { H } & \text { H } & \text { T } & \text { HHT } & 1 \\ \text { H } & \text { T } & \text { H } & \text { HTH } & 1 \\ \text { H } & \text { T } & \text { T } & \text { HTT } & 1 \\ \text { T } & \text { H } & \text { H } & \text { THH } & 1 \\ \text { T } & \text { H } & \text { T } & \text { THT } & 1 \\ \text { T } & \text { T } & \text { H } & \text { TTH } & 1 \\ \text { T } & \text { T } & \text { T } & \text { TTT } & 1 \end{array}\)
• D) \(\quad \)\(\quad \)\(\quad \)\(\quad \)\(\quad \)\(\quad \)\(\quad \)\(\quad \)\(\quad \)\( \underline{\text { Tossing } 3 \text { Coins }}\) \(\begin{array}{ccccc} \underline{\text { Coin } 1} & \underline{\text { Coin } 2} & \underline{\text { Coin } 3}& \underline{\text { Outcome}}& \underline{ \text { Probability }}\\ \mathrm{H} & \mathrm{H} & \mathrm{H} & \text { HHH } & 1 / 8 \\ \mathrm{H} & \mathrm{H} & \mathrm{T} & \text { HHT } & 3 / 8 \\ \mathrm{H} & \mathrm{T} & \mathrm{H} & \text { HTH } & 3 / 8 \\ \mathrm{H} & \mathrm{T} & \mathrm{T} & \text { HTT } & 3 / 8 \\ \mathrm{~T} & \mathrm{H} & \mathrm{H} & \text { THH } & 3 / 8 \\ \text { T } & \text { H } & \text { T } & \text { THT } & 3 / 8 \\ \text { T } & \text { T } & \text { H } & \text { TTH } & 3 / 8 \\ \text { T } & \text { T } & \text { T } & \text { TTT } & 1 / 8 \end{array}\)

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Definitions:

Defining Characteristic

A feature that allows the clear identification or differentiation of an item or concept from others.

Associated Cost

Costs that are directly linked with a specific activity, process, or project.

Implicit Costs

The opportunity costs that arise from using assets, resources, or funds in a certain way rather than in the next best alternative.

Wheat Farm

A specialized agricultural operation focused on the cultivation and production of wheat.