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A couple intends to have four children. Assume that having a boy or a girl is an equally likely event. List the sample space of this experiment.

User WloHu
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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

User Vimal Krishna
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