Question

Hello could you help me figure out the tree diagram for this problem?

Answer 1

To complete a tree diagram with probabilities we just need that each branch adds up to 1. For example in the upper branch we have:

`\begin{gathered} (1)/(10)+x=1 \\ x=1-(1)/(10) \\ x=(9)/(10) \end{gathered}`

Then we need to fill the W-OT line with a 9/10.

Similarly for the lower branch we have:

`\begin{gathered} y+(19)/(20)=1 \\ y=1-(19)/(20) \\ y=(1)/(20) \end{gathered}`

Then we need to fill the B-L line with 1/20.

Finally the first empty line we have:

`\begin{gathered} z+(1)/(3)=1 \\ z=1-(1)/(3) \\ z=(2)/(3) \end{gathered}`

Then the first empty slot is 2/3