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How to draw a tree diagram for statistics?
The question says: You are going to toss a coin repetedly in sucessive trials until you get a head for the first time, and then you are going to stop the experiment. Assuming that the coin is unbalanced with P(head)=1/5.
Help please!
1 Answer
- Anonymous1 decade agoFavorite Answer
There are only 2 options, but since our probabilities are 1/5 and 4/5, it will be easier to treat this problem like there are 5 options (1 for heads and 1 for tails).
So, we start at a point and draw 5 lines from it, 1 going to heads, 4 going to tails.
The line that went to heads is done (since we stop when get to heads).
From each of our other four branches, we draw 5 lines, 1 going to heads, 4 going to tails.
Again, the heads line is done. From the other 4 branches, we draw 5 branches and so on.
This pattern will repeat forever (since it is theoretically possible to only get tails).
Hope that helps.