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It is given that a family of 2 children has a girl, what is the probability that the other child is also a girl?
  • a)
    0.50
  • b)
    0.75
  • c)
    1/3
  • d)
    2/3
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
It is given that a family of 2 children has a girl, what is the probab...
The answer is 0.50 as there is equal probability of  other child being a  boy or a girl.
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It is given that a family of 2 children has a girl, what is the probab...
Given Information
A family has 2 children, and one of them is a girl.

To Find
The probability of the other child being a girl.

Solution
Let's consider the gender of the two children in the family. There are four possible outcomes, which can be represented as follows:

- Boy - Boy (BB)
- Boy - Girl (BG)
- Girl - Boy (GB)
- Girl - Girl (GG)

Out of the four possible outcomes, we know that one of the children is a girl. This eliminates the first outcome (BB) as it does not include a girl. So, we have three remaining outcomes:

- Boy - Girl (BG)
- Girl - Boy (GB)
- Girl - Girl (GG)

Out of these three outcomes, we see that two of them include a girl. Therefore, the probability of the other child also being a girl is 2/3 or 0.67.

Hence, the correct answer is option (C).

Conclusion
The probability of the other child being a girl is 2/3 or 0.67.
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It is given that a family of 2 children has a girl, what is the probab...
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It is given that a family of 2 children has a girl, what is the probability that the other child is also a girl?a)0.50b)0.75c)1/3d)2/3Correct answer is option 'C'. Can you explain this answer?
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