Solve the problem.
-A couple plans to have four children. Using a tree diagram , obtain the sample space. List the Elements that make up the sample space. (Use ʺBʺ for ʺboyʺ and ʺGʺ for ʺgirl.ʺ)
A) BBBB, BBB, BB, B
B) BBBB, BBBG, BBGG, BGGG, GGGG
C) BBBB, BBBG, BBGB, BBGG, BGBB, BGBG, BGGB, BGGG, GBBB, GBBG, GBGB, GBGG, GGBB, GGBG, GGGB, GGGG
D) BBBG, BBGB, BBGG, BGBB, BGBG, BGGB, BGGG, GBBB, GBBG, GBGB, GBGG, GGBB, GGBG, GGGB

Question

Solve the problem.
-A couple plans to have four children. Using a tree diagram , obtain the sample space. List the Elements that make up the sample space. (Use ʺBʺ for ʺboyʺ and ʺGʺ for ʺgirl.ʺ) 
A) BBBB, BBB, BB, B
B) BBBB, BBBG, BBGG, BGGG, GGGG
C) BBBB, BBBG, BBGB, BBGG, BGBB, BGBG, BGGB, BGGG, GBBB, GBBG, GBGB, GBGG, GGBB, GGBG, GGGB, GGGG
D) BBBG, BBGB, BBGG, BGBB, BGBG, BGGB, BGGG, GBBB, GBBG, GBGB, GBGG, GGBB, GGBG, GGGB

Quizplus · Accepted Answer

Each child can be either a boy (B) or a girl (G), leading to 2^4 = 16 possible combinations for four children, which are all listed in option C.

Solve the Problem. -A Couple Plans to Have Four Children. Using a Tree