The sample space shows all possible sequences of child gender for a family with 3 children. The table is organized by the number of girls in the family. Complete parts (a) and (b) below. 0 Girls 1 Girl 2 Girls 3 Girls D BBB GBB BGG GGG BGB GBG BBG GGB a. How many outcomes are in the sample space? C b. If we assume all outcomes in the sample space are equally likely, find the probabilities (i) through (iii) of having the following number of girls in a family of three children. i. all 3 girls (Type an integer or a simplified fraction.)

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