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Fact 1: Jessica has four children
Fact 2: Two children have blue eyes, and two children are brown eyes.
Fact 3: The child has half girls
If the first three statements are true, then which of the following statements should be?
I. At least one girl has blue eyes
II. Two children are boys
III. Boys have brown eyes
  • a)
    Only II
  • b)
    I and III
  • c)
    II and III
  • d)
    No statement is a known fact
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Fact 1: Jessica has four childrenFact 2: Two children have blue eyes,...
Since half of the four children are girls, there will be two boys. It is not clear whether children have blue or brown eyes.
Hence the correct answer is option A.
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Most Upvoted Answer
Fact 1: Jessica has four childrenFact 2: Two children have blue eyes,...
Given Facts:
- Jessica has four children.
- Two children have blue eyes and two children have brown eyes.
- The children have a 50-50 gender distribution (half girls).

Analysis:
Let's analyze each statement and determine if it is true or false based on the given facts.

Fact 1: Jessica has four children.
This statement is true. It is mentioned in the given facts.

Fact 2: Two children have blue eyes, and two children have brown eyes.
This statement is true. It is mentioned in the given facts.

Fact 3: The children have a 50-50 gender distribution (half girls).
This statement is true. It is mentioned in the given facts.

Implications:
Based on the given facts, we can draw the following implications:

I. At least one girl has blue eyes.
This statement is true. Since there are two children with blue eyes, and the children have a 50-50 gender distribution, it is guaranteed that at least one of the girls has blue eyes.

II. Two children are boys.
This statement is not a known fact. While it is mentioned that the children have a 50-50 gender distribution, it doesn't provide any specific information about the number of boys and girls. It is possible to have any combination of boys and girls, as long as the ratio is 50-50.

III. Boys have brown eyes.
This statement is not a known fact. The given facts only mention that two children have blue eyes and two children have brown eyes. It doesn't provide any specific information about the eye color of boys or girls.

Conclusion:
Based on the given facts, the following statements can be considered as known facts:
- At least one girl has blue eyes (Statement I).

Hence, the correct answer is option 'A' (Only I).
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Fact 1: Jessica has four childrenFact 2: Two children have blue eyes, and two children are brown eyes.Fact 3: The child has half girlsIf the first three statements are true, then which of the following statements should be?I. At least one girl has blue eyesII. Two children are boysIII. Boys have brown eyesa)Only IIb)I and IIIc)II and IIId)No statement is a known factCorrect answer is option 'A'. Can you explain this answer?
Question Description
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