Tree diagrams

Luckygal

New member
Joined
Apr 29, 2012
Messages
12
There are 5 children in the family. Draw a tree diagram to show the possible outcomes. (Boy or girl)
I drew the tree diagram.
a) How many outcomes have only 4 boys in the family.
My answer: there were 5 outcomes:
B-B-B-B-G
B-B-B-G-B
B-B-G-B-B
B-G-B-B-B
G-B-B-B-B

b) How many outcomes have only 2 girls in the family?
My answer:12 outcomes:
G-G-B-B-B
B-B-B-G-G
G-B-B-B-G
G-B-G-B-B
G-B-B-G-B
B-G-G-B-B
B-G-B-B-G
B-B-G-G-B
B-B-G-B-G
B-B-B-G-G
B-B-G-B-G
B-G-B-B-G

c) how many outcomes are there in total?
My answer: 32 outcomes


My question: Are my answers correct? Please check. Type if all answers are correct or wrong.
 
Hello, Luckygal!

There are 5 children in the family.
Draw a tree diagram to show the possible outcomes (Boy or Girl).

I drew the tree diagram.


a) How many outcomes have only 4 boys in the family.

My answer: there were 5 outcomes:

. . \(\displaystyle \begin{array}{ccc}(1) & BBBBG \\ (2) & BBBGB \\ (3) & BBGBB \\ (4) & BGBBB \\ (5) & GBBBB\end{array}\) . . Correct!


b) How many outcomes have only 2 girls in the family?

My answer: 12 outcomes: .No, 10

. . \(\displaystyle \begin{array}{cccc}(1) & GGBBB \\ (2) & BBBGG \\ (3) & GBBBG \\ (4) & GBGBB \\ (5) & GBBGB \\ (6) & BGGBB \\ (7) & BGBBG \\ (8) & BBGGB \\ (9) & BBGBG \\ (10) & BBBGG \\ (11) & \color{red}{\rlap{////////}}BBGBG & \text{same as (9)}\\ (12) & \color{red}{\rlap{////////}}BGBBG & \text{same as (7)}\end{array}\)


c) How many outcomes are there in total?

My answer: 32 outcomes . Right!

 
Top