In a family of two children, the probability of having at least one girl is :

Answer: The probability of having at least one girl is 34\frac{3}{4}.

Step-by-step solution

Step 1: List all possible outcomes

When a family has two children, each child can be either a boy (B) or a girl (G). We list all possible combinations for the two children. The first letter represents the first child and the second letter represents the second child.

Step 2: Identify favorable outcomes

We are looking for the probability of having at least one girl. This means we need to identify the outcomes where there is one girl or two girls. These outcomes are (Boy, Girl), (Girl, Boy), and (Girl, Girl).

Step 3: Calculate the probability

There are 3 favorable outcomes (B,G), (G,B), (G,G) and a total of 4 possible outcomes. Therefore, the probability of having at least one girl is the ratio of favorable outcomes to the total number of outcomes.

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