First Question
- Mr. Jones has two children. The older child is a girl. What is the probability that both children are girls?
Under the forementioned assumptions, in this problem, a random family is selected. In this sample space, there are four equally probable events:
| Older child | Younger child |
|---|---|
| Girl | Girl |
| Girl | Boy |
Only two of these possible events meet the criteria specified in the question (e.g., GG, GB). Since both of the two possibilities in the new sample space {GG, GB} are equally likely, and only one of the two, GG, includes two girls, the probability that the younger child is also a girl is 1/2.
Read more about this topic: Boy Or Girl Paradox
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