Solved

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

Question 55

Multiple Choice

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


A)
\quad \quad \quad \quad \quad \quad \quad \quad  Tossing 3 Coins \underline{\text { Tossing } 3 \text { Coins }}
 Coin 1 Coin 2 Coin 3 Outcome  Probability  H  H  H  HHH 1/4HHT HHT 1/4 T TH TTH 1/4 T T T TTT 1/4\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  Tossing 3 Coins  \underline{\text { Tossing } 3 \text { Coins }}
 Coin 1 Coin 2 Coin 3 Outcome Probability HHH HHH 1/8HHT HHT 1/8HTH HTH 1/8HTT HTT 1/8 THH THH 1/8 THT THT 1/8 T  T  H  TTH 1/8 T  T  T  TTT 1/8\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  Tossing 3 Coins  \underline{\text { Tossing } 3 \text { Coins }}
 Coin 1 Coin 2 Coin 3 Outcome Probability  H  H  H  HHH 1 H  H  T  HHT 1 H  T  H  HTH 1 H  T  T  HTT 1 T  H  H  THH 1 T  H  T  THT 1 T  T  H  TTH 1 T  T  T  TTT 1\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  Tossing 3 Coins  \underline{\text { Tossing } 3 \text { Coins }}
 Coin 1 Coin 2 Coin 3 Outcome Probability HHH HHH 1/8HHT HHT 3/8HTH HTH 3/8HTT HTT 3/8 THH THH 3/8 T  H  T  THT 3/8 T  T  H  TTH 3/8 T  T  T  TTT 1/8\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}



Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions

Unlock this Answer For Free Now!

View this answer and more for free by performing one of the following actions

qr-code

Scan the QR code to install the App and get 2 free unlocks

upload documents

Unlock quizzes for free by uploading documents