A Family with Four Children Is Randomly Selected $\quad$ $\quad$

question 110

Multiple Choice

A family with four children is randomly selected. Assume that births of boys and girls are equally likely. Construct a table showing the probability distribution for the events 4 girls, 3 girls, 2 girls, 1 girl, and 0 girls..
$\quad$ $\quad$$\quad$$\text {4 Child Family }$
$\begin{array}{l}\begin{array} { l l c } \hline { \text { Result } } && \text { Probability } \\\hline \\ \\ \\ \\ \\\hline \text { Total } & & \end{array}\end{array}$

• A)
• \(\quad \) \(\quad \)\(\quad \)\(\text {4 Child Family }\)
• \(\begin{array}{l}
• \begin{array} { l l c }
• \hline { \text { Result } } && \text { Probability } \\
• \hline 4 \text { girls } & 0 \text { boys } & 1 / 16 \\
• 3 \text { girls } & 1 \text { boy } & 4 / 16 \\
• 2 \text { girls } & 2 \text { boys } & 6 / 16 \\
• 1 \text { girl } & 3 \text { boys } & 4 / 16 \\
• 0 \text { girls } & 4 \text { boys } & 1 / 16 \\
• \hline \text { Total } & & 1
• \end{array}
• \end{array}\)
• B) \(\quad \) \(\quad \)\(\quad \)\(\text {4 Child Family }\)
• \(\begin{array}{l}
• \begin{array} { l l c }
• \hline { \text { Result } } && \text { Probability } \\
• \hline 4 \text { girls } & 0 \text { boys } & 1 \\
• 3 \text { girls } & 1 \text { boy } & 1 \\
• 2 \text { girls } & 2 \text { boys } & 1 \\
• 1 \text { girl } & 3 \text { boys } & 1 \\
• 0 \text { girls } & 4 \text { boys } & 1 \\
• \hline \text { Total } && 5
• \end{array}
• \end{array}\)
• C)
• \(\quad \) \(\quad \)\(\quad \)\(\text {4 Child Family }\)
• \(\begin{array}{l}
• \begin{array} { l l c }
• \hline { \text { Result } } && \text { Probability } \\
• \hline 4 \text { girls } & 0 \text { boys } & 1 / 5 \\
• 3 \text { girls } & 1 \text { boy } & 1 / 5 \\
• 2 \text { girls } & 2 \text { boys } & 1 / 5 \\
• 1 \text { girl } & 3 \text { boys } & 1 / 5 \\
• 0 \text { girls } & 4 \text { boys } & 1 / 5\\
• \hline \text { Total } && 1
• \end{array}
• \end{array}\)
• D)

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