# tree diagram

• Apr 30th 2010, 07:17 AM
andyboy179
tree diagram
hi this is my question:

Danny has a biased coin.
The probability that the coin lands on heads is 2/3.
Danny throws the coin twice.
A) Fill in the probabilities on the tree diagram. (tree diagram at bottom of page)

on the first head it would be 2/3 and on the first tail 1/3.
on the second heads would it still be 2/3 and 1/3 on the tails?

Attachment 16624
• Apr 30th 2010, 07:59 AM
Soroban
Hello, andyboy179!

Quote:

Danny has a biased coin.
The probability that the coin lands on heads is 2/3.
Danny throws the coin twice.

A) Fill in the probabilities on the tree diagram.

On the first, heads would be 2/3 and tail would be 1/3.

On the second, would heads still be 2/3 and 1/3 on the tails?

Yes!

The first "branch" looks like this:

Code:

```                    [H]           2/3    *               *           *       o           *               *           1/3    *                     [T]```

And every subsequent branch is exactly the same.