Ronald and Michelle have two children. The probability that the first child is a girl, is 50%. The probability that the second child is a girl, is also 50%. Ronald and Michelle tell you that they have a daughter. What is the probability that their other child is also a girl?

  1. 1by3

  2. 2by3

  3. 3by3

  4. 4by3


Correct Option: A

AI Explanation

To answer this question, let's consider all the possible combinations of the genders of Ronald and Michelle's children. There are four possibilities:

  1. Girl - Girl
  2. Girl - Boy
  3. Boy - Girl
  4. Boy - Boy

Since Ronald and Michelle have told us that they have a daughter, we can eliminate the fourth possibility (Boy - Boy).

Out of the remaining three possibilities, only one includes a second daughter (Girl - Girl). Therefore, the probability that their other child is also a girl is 1 out of 3, or 1/3.

So, the correct answer is A) 1/3.

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