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Probability 0.5 Daniell Outcomes and event probability: Conditional probability uppose that the genders of the three children of a family are soon to be revealed. An outcome is represented by a string of the sort GBB (meaning the oldest Ild is a giri, the second oldest is a boy, and the youngest is a boy). e 8 outcomes are listed below. Assume that each outcome has the same probability. implete the following. Write your answers as fractions. necessary, consult a list of formulas.) (a) Check the outcomes for each of the three events below. Then, enter the probability of each event. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline \multirow[t]{2}{}{} & & & & & hes & & & & \multirow{2}{}{Probability} \\ \hline & BBB & $ B B G $ & BGB & B6G & GBB & GBG & GGB & GGG & \\ \hline Event X: No girls on the first two births & $ \square $ & $ \square $ & $ \square $ & $ \square $ & $ \square $ & $ \square $ & $ \square $ & $ \square $ & $ \square $ \\ \hline Event Y: At least one boy on the last two births & $ \square $ & 0 & $ \square $ & $ \square $ & $ \square $ & $ \square $ & $ \square $ & $ \square $ & $ \square $ \\ \hline Event $ X $ and $ Y $ : No girls on the first two births and at least one boy on the last two births & $ \square $ & $ \square $ & $ \square $ & $ \square $ & $ \square $ & $ \square $ & $ \square $ & $ \square $ & $ \square $ \\ \hline \end{tabular}

          Probability
0.5
Daniell
Outcomes and event probability: Conditional probability
uppose that the genders of the three children of a family are soon to be revealed. An outcome is represented by a string of the sort GBB (meaning the oldest Ild is a giri, the second oldest is a boy, and the youngest is a boy).
e 8 outcomes are listed below. Assume that each outcome has the same probability.
implete the following. Write your answers as fractions.
necessary, consult a list of formulas.)
(a) Check the outcomes for each of the three events below. Then, enter the probability of each event.
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}
\hline \multirow[t]{2}{*}{} & & & & & hes & & & & \multirow{2}{*}{Probability} \\
\hline & BBB & \( B B G \) & BGB & B6G & GBB & GBG & GGB & GGG & \\
\hline Event X: No girls on the first two births & \( \square \) & \( \square \) & \( \square \) & \( \square \) & \( \square \) & \( \square \) & \( \square \) & \( \square \) & \( \square \) \\
\hline Event Y: At least one boy on the last two births & \( \square \) & 0 & \( \square \) & \( \square \) & \( \square \) & \( \square \) & \( \square \) & \( \square \) & \( \square \) \\
\hline Event \( X \) and \( Y \) : No girls on the first two births and at least one boy on the last two births & \( \square \) & \( \square \) & \( \square \) & \( \square \) & \( \square \) & \( \square \) & \( \square \) & \( \square \) & \( \square \) \\
\hline
\end{tabular}

$Probability 0.5 Daniell Outcomes and event probability: Conditional probability uppose that the genders of the three children of a family are soon to be revealed. An outcome is represented by a string of the sort GBB (meaning the oldest Ild is a giri, the second oldest is a boy, and the youngest is a boy). e 8 outcomes are listed below. Assume that each outcome has the same probability. implete the following. Write your answers as fractions. necessary, consult a list of formulas.) (a) Check the outcomes for each of the three events below. Then, enter the probability of each event. [t]2* hes 2*Probability BBB B B G BGB B6G GBB GBG GGB GGG Event X: No girls on the first two births □ □ □ □ □ □ □ □ □ Event Y: At least one boy on the last two births □ 0 □ □ □ □ □ □ □ Event X and Y : No girls on the first two births and at least one boy on the last two births □ □ □ □ □ □ □ □ □$

Added by Lisa B.

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