Monday, February 11, 2013

Multistage Experiments with Tree Diagrams

Multistage Experiments Include.....

One-Stage Experiment-  experiments that are over after one step
 Two-Stage Experiment-  experiments that require many trials to complete
 Geometric Probabilitiesa probability model that uses geometric shapes as an area model

When we document our results for multistage experiments it helps to draw...
A tree diagram!!
 Let's look at an example:
If we have three colored marbles in a bag (two red and one blue) and are going to draw two out and then replace them then this is what the tree diagram would look like:
  


  The outcomes you get from each draw is listed in the diagram
   You then would proceed to multiply together the outcomes and find the probability of each color combo being drawn.   



If we conducted the same experiment but do not replace the marbles into the bag, the fractions would be different.  Each time you take a marble out, the total number (in the denominator) goes down.  

http://www.regentsprep.org/Regents/math/ALGEBRA/APR4/PracTre.htm 
This link has tree diagram questions for practice, not just with probability but with word problems as well!!
    

 

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