# Thread: Drawing a tree diagram

1. ## Drawing a tree diagram

I understand the concept of how to do a tree diagram but when I went to do this one particular problem I was confused about how to draw it correctly. Here it is: Draw a tree diagram to display all the possible outcomes that can occur when you flip a coin and then toss a die. I can't seem to figure out how to get started. I'm sure once I know what the first two branches are than I might be able to figure out the rest. I would really appreciate any help that anyone would be willing to give. Thanks in advance.

2. Originally Posted by Jen48
I understand the concept of how to do a tree diagram but when I went to do this one particular problem I was confused about how to draw it correctly. Here it is: Draw a tree diagram to display all the possible outcomes that can occur when you flip a coin and then toss a die. I can't seem to figure out how to get started. I'm sure once I know what the first two branches are than I might be able to figure out the rest. I would really appreciate any help that anyone would be willing to give. Thanks in advance.
Sample space of flipping a coin is {H, T}, where as sample space of tossing a die {1, 2, 3, 4, 5, 6}

Starting with the coin:

H: H1, H2, H3, H4, H5, H6

T: T1, T2, T3, T4, T5, T6

3. Thanks!

Can you let me know if I have this figured out right?

First two branches: Coin and dice
Coin:
Branch for H and T
From the H branch a branch for H1, H2 etc.
From the T branch a branch for T1, T2, etc.

Dice:
Branches for 1,2,3,4,5,6
Branches for 1T, 1H etc.
Branches for 2T, 2H etc.
Branches for 3T, 3H etc.
" " 4T, 4H, etc.
" " 5T, 5H etc.
" " 6T, 6H, etc.

Is this right? I appreciate your reply and would love it if you could let me know if I'm on the right track here. Thanks again!

4. Yes, you are very much on the right track.

5. Originally Posted by Chop Suey
Yes, you are very much on the right track.
Thank you very much!