Family intends to have four children, prepare a tree diagram for this family and list the possible outcomes
To prepare a tree diagram for the family's intention to have four children, we will start with the parents at the top and then branch out for each child. Since each child can have two possible outcomes (either being a boy or a girl), we will have two branches for each child.
Here is a simple example of a tree diagram for the family's intentions:
Parents
/ \
/ \
Boy Girl
/ \ / \
Boy Girl Boy Girl
/ \ / \ / \ / \
Boy Girl Boy Girl Boy Girl Boy Girl
Now, let's list the possible outcomes based on this tree diagram:
1. Boy - Boy - Boy - Boy (BBBB)
2. Boy - Boy - Boy - Girl (BBBG)
3. Boy - Boy - Girl - Boy (BBGB)
4. Boy - Boy - Girl - Girl (BBGG)
5. Boy - Girl - Boy - Boy (BGBB)
6. Boy - Girl - Boy - Girl (BGBG)
7. Boy - Girl - Girl - Boy (BGGB)
8. Boy - Girl - Girl - Girl (BGGG)
9. Girl - Boy - Boy - Boy (GBBB)
10. Girl - Boy - Boy - Girl (GBBG)
11. Girl - Boy - Girl - Boy (GBGB)
12. Girl - Boy - Girl - Girl (GBGG)
13. Girl - Girl - Boy - Boy (GGBB)
14. Girl - Girl - Boy - Girl (GGBG)
15. Girl - Girl - Girl - Boy (GGGB)
16. Girl - Girl - Girl - Girl (GGGG)
These are the 16 possible outcomes for the family's intention to have four children. Each outcome represents a specific combination of boys (B) and girls (G) in their four children.
Cannot do a tree diagram on these posts.
However, be sure to include the order of birth for each gender (first born, etc.).