(3) Suppose that cach child born is equally likely to be a boy or a girl. Consider a family with exactly 3 children (a) List the 8 clements of the sample space whose outcomes are all possible genders of the 3 children (for example: BBB (all 3 are boys, BBG (the first two are boys and the third child is a girl, ete) (b) Find the probability for cach of the following events: (1) Exactly one child is a girl (ii) At least 2 children are girls (ii) Exactly 2 girls are born consecutively (iv) No child is a girl

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(3) Suppose that cach child born is equally likely to be a boy or a girl. Consider a family with exactly 3 children
(a) List the 8 clements of the sample space whose outcomes are all possible genders of the 3 children (for example:
BBB (all 3 are boys, BBG (the first two are boys and the third child is a girl, etc)
(b) Find the probability for cach of the following events:
) Exactly one child is a girl
(ii) At least 2 children are girls
(iii) Exactly 2 girls are born consecutively
(iv) No child is a girl
Transcribed Image Text:(3) Suppose that cach child born is equally likely to be a boy or a girl. Consider a family with exactly 3 children (a) List the 8 clements of the sample space whose outcomes are all possible genders of the 3 children (for example: BBB (all 3 are boys, BBG (the first two are boys and the third child is a girl, etc) (b) Find the probability for cach of the following events: ) Exactly one child is a girl (ii) At least 2 children are girls (iii) Exactly 2 girls are born consecutively (iv) No child is a girl
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