http://www.ck12.org Chapter 1. Independent and Dependent Events
TheSrepresents all of the possible outcomes of an experiment. It is called thesample space. The ovalsAandB
represent the outcomes of the events that occur in the sample space.
Example A
2 coins are tossed one after the other. EventAconsists of the outcomes when tossing heads on the first toss. Event
Bconsists of the outcomes when tossing heads on the second toss. Draw a Venn diagram to represent this example.
We know that:
S={HH,HT,T H,T T}
A={HH,HT}
B={HH,T H}
Notice that eventAand eventBshare the Heads + Heads outcome and that the sample space contains Tails + Tails,
which is neither in eventAnor eventB.
Example B
EventArepresents randomly choosing a student fromABCHigh School who holds a part-time job. EventB
represents randomly choosing a student fromABCHigh School who is on the honor roll. Draw a Venn diagram
to represent this example.
We know that:
S={students inABCHigh School}
A={students holding a part-time job}
B={students on the honor roll}