Name_________________
Probability Graphic Organizer
Theoretical Probability – the probability of Example: P(sum of 7) when rolling 2 fair
an event occurring in theory
number cubes. Show work!
Experimental Probability – the probability
of an event occurring based on the results
of an experiment. Remember, the more
trials you run, the closer your experimental
probability will get to matching the
theoretical probability!
Grade
6
7
8
9
10
Passing Score
2/5
1/8
1/4
1/2
3/5
What is the number of 8th graders that
would have a passing score if 80 students
took the test?
Listing Combinations – Showing the
different combinations using a systematic
approach so nothing gets repeated.
Example: Show the different combinations
of 20 cents using dimes, nickels, and
pennies?
Least amount of coins used? Most?
Counting Principle - To determine the
number of possible outcomes.
Example: 5 types of sauce, 5 choices of
meat, 4 types of veggies?
Name_________________
Probability Graphic Organizer
Tree Diagrams – Showing the different
combinations of events.
Example: How many ways can you get two
heads if you flip a coin three times?
Independent Events – When one event
does not affect the second event.
Example: 5 green, 4 blue, 1 white marble.
What is the probability of selecting a green,
replacing it, and selecting a blue the second
time?
Dependent Events – When one event
affects the second event.
Example: 5 green, 4 blue, 1 white marble.
What is the probability of selecting a green,
not replacing it, and selecting a green the
second time?
Combinations – Order does not matter.
You are eliminating the duplicates!
Example: How many ways can 3 friends be
chosen from a group of 8?
Calculator - nCr
Permutations - Order does matter. You
are not eliminating the duplicates!
Example: How many ways can a President,
VP, and secretary be arranged from a group
of 5 people?
Calculator – nPr or !
How many ways can 4 racing dogs cross
the finish line?
Name_________________
Probability Graphic Organizer