107 6.3. Probability Using Tree Diagrams and Combinations — Mathematics for Public and Occupational Health Professionals
Probability Using Tree Diagrams and Combinations
In this section, we will apply previously learnt counting techniques in calculating probabilities, and use tree diagrams to help us gain a better understanding of what is involved.
We begin with an example.
We now demonstrate the above results with a tree diagram.
We end the section by solving a problem called the Birthday Problem.
Practice questions
1. Two apples are chosen from a basket containing five red and three yellow apples. Draw a tree diagram and find the following probabilities:
2. Three marbles are drawn from a jar containing five red, four white, and three blue marbles. Find the following probabilities using combinations:
3. A committee of four is selected from a total of 4 occupational and public health students, 5 nursing students, and 6 nutrition students. Find the probabilities for the following events:
4. A hockey team has 2 goalies, 6 defense players, 8 wingers, and 4 centers. If the team randomly selects 5 players to attend a charity function, what is the probability that:
5. Complete the following birthday problems:
<!– pb_fixme –>
<!– pb_fixme –>