QUESTIONS AND ANSWERS A+ GRADED
Venn Diagram
A type of chart that illustrates how distinct sets topics or object objects relate to one
another, uses circles to represent events
event
An outcome or set of outcomes, whose chance of occurrence can be represented with a
probability
Probability
The chance of an event occurring
Intersection
The intersection of A and B we have all elements that are in both A and B. You can
think of an intersection as 'A and B' since it contains an element if it is in A and B. The
intersection of mini sets will have an element if it appears in all of the sets
Tree diagram
A diagram that records all the events in a sample space by attaching each new set of
events to each branch of the earlier event the number of outermost branches gives the
sample size
Theoretical probability
Also called the actual exact or classical probability. It is computed by dividing the
number of outcomes where the desired event occurs by the total number of outcomes
note that the outcomes must be equally likely.
Union
The union of a and B will have all elements in A, all elements in B, and all elements in
both you can think of a union as 'A and B' since it contains an element if it is in A or in B
unit of mini sets will have an element if it appears in at least one set
Law of total probability
A fundamental principle of probability which states that the product of all branches of a
probability tree, added together equals 1.
The law of large numbers
As the number of trials increases the empirical probability converges on the theoretical
probability, that is the estimate of the true probability becomes more accurate.
Random experiment
Experiment in which the outcome is not known ahead of time and in which results do
not affect future outcomes.
Complement
An event that is the opposite of another event the complement of heads when flipping
coins is tails. They probability of an event and it's compliment always sum to 1
Experiment
A procedure that can be done repeatedly, which has a well defined set of outcomes.
Relative frequency