✒️[tex]\large{\mathcal{ANSWER}}[/tex]
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The probability that all Silva children are girls and all Oliveira children are boys is 1/1024,
➪Alternative E.
- The chances of any couple having a boy or girl is a fil 50%, represented as a fraction is 1/2.
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The probability that all of the Silva family's children are girls is;
[tex]( \frac{1}{2} )^{6} = \frac{1}{64} [/tex]
The probability that all the children of the Oliveira family are boys is;
[tex]( \frac{1}{2} ) ^{4} = \frac{1}{16} [/tex]
Therefore, the probability that all children of the Silva family are girls and all children of the Oliveira family are boys is:
[tex] \frac{1}{64} \times \frac{1}{16} = \frac{1}{1024} [/tex]
Therefore, the correct alternative is letter E [tex]\frac{1}{1024} [/tex]
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