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

question 69

Multiple Choice

A family with three children is randomly selected. Assume that births of boys and girls are equally likely. Construct a
Table showing the probability distribution for the events 3 girls, 2 girls, 1 girl, and 0 girls.


$\quad$ $\quad$$3 \text { Child Family }$
$\begin{array}{cc}\hline \text { Result }&\text { Probability }\\\hline \\\\ \\\\\hline\text { Total }\end{array}$

• A)
• \(\quad \) \(\quad \)\(3 \text { Child Family }\)
• \(\begin{array}{cc}
• \hline \text { Result }&\text { Probability }\\
• \hline 3 \text { girls } & 0 \text { boys } \\
• 2 \text { girls } & 1 \text { boy } \\
• 1 \text { girl } & 2 \text { boys } \\
• 0 \text { girls } & 3 \text { boys }\\
• \hline\text { Total }&8
• \end{array}\)
• B)
• \(\quad \) \(\quad \)\(3 \text { Child Family }\)
• \(\begin{array}{cc}
• \hline \text { Result }&&\text { Probability }\\
• \hline3 \text { girls } & 0 \text { boys } & 1 \\
• 2 \text { girls } & 1 \text { boy } & 1 \\
• 1 \text { girl } & 2 \text { boys } & 1 \\
• 0 \text { girls } & 3 \text { boys } & 1 \\
• \hline\text { Total }&&4
• \end{array}\)
• C)
• \(\quad \) \(\quad \)\(3 \text { Child Family }\)
• \(\begin{array}{cc}
• \hline \text { Result }&&\text { Probability }\\
• \hline3 \text { girls } & 0 \text { boys } & 1 / 8 \\
• 2 \text { girls } & 1 \text { boy } & 3 / 8 \\
• 1 \text { girl } & 2 \text { boys } & 3 / 8 \\
• 0 \text { girls } & 3 \text { boys } & 1 / 8\\
• \hline\text { Total }&&1
• \end{array}\)
• D)
• \(\quad \) \(\quad \)\(3 \text { Child Family }\)
• \(\begin{array}{cc}
• \hline \text { Result }&&\text { Probability }\\
• \hline3 \text { girls } & 0 \text { boys } & 1 / 4 \\
• 2 \text { girls } & 1 \text { boy } & 1 / 4 \\
• 1 \text { girl } & 2 \text { boys } & 1 / 4 \\
• 0 \text { girls } & 3 \text { boys } & 1 / 4\\
• \hline\text { Total }&&1
• \end{array}\)

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Definitions:

Input

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The cyclic process by which a Programmable Logic Controller (PLC) reads input, executes logic, and updates output, forming the basis of its operating cycle.

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