In a family of two children, the probability of having at most one boy, is :

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 sample space consists of four equally likely outcomes: both boys, first boy then girl, first girl then boy, and both girls.

Step 2: Identify favorable outcomes

We are looking for the probability of having 'at most one boy'. This means the number of boys can be zero or one. From our sample space, the outcomes with zero boys are (G,G), and the outcomes with one boy are (B,G) and (G,B).

Step 3: Calculate the probability

There are 3 favorable outcomes (B,G), (G,B), (G,G) and a total of 4 possible outcomes. The probability is calculated by dividing the number of favorable outcomes by the total number of outcomes.

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