Final answer:
The sample space for this experiment is the set of all possible outcomes, which includes combinations of boys (B) and girls (G) for four children.
Step-by-step explanation:
The sample space for this experiment is the set of all possible outcomes. In this case, the couple intends to have four children and each child can either be a boy or a girl, with equal likelihood. So, to find the sample space, we need to consider all possible combinations of boys (B) and girls (G) for four children. The sample space is:
- BBBB
- BBBG
- BBGB
- BBGG
- BGBB
- BGBG
- BGGB
- BGGG
- GBBB
- GBBG
- GBGB
- GBGG
- GGBB
- GGBG
- GGGB
- GGGG