Part Time
Job
8
Driver's
License
0.
6
7
COMPLEMENT
of an Event
Experimental
PROBABILITY
6. Students in a homeroom were asked if they have a part time job and if
they have their driver's license. The results are shown in the Venn diagram
to the left. If a student from the homeroom is chosen at random, find
each probability. Give each answer as a fraction in simplest form.
a) P(part time job).
b) P(no driver's license)
c) P(part time job and driver's license)
d) P(part time job or driver's license)
e) P(driver's license and no part time job)
7. Out of 60 students, 15 are taking Calculus and 27 are taking Physics. Eight
of the students are taking both Calculus and Physics. If a student of this
group is chosen at random, find each probability.
a) P(takes Calculus or Physics)
b) P(takes Calculus but not Physics)
The complement of an event is the probability of the event.
occuring. Since the sum of all probabilities in a sample space is
the probability of an event not occuring is P(-E) =
8. The probability that it will rain
tomorrow is 11/15. What is the
probability that it will not rain?
9. A number from 1-30 is selected at
random. What is the probability
of not selecting a multiple of 4?
Experimental probability is based on the results of
repeated trials of an experiment. For example, the
spinner to the right is spun 50 times. The results
of each spin are shown in the table below.
Red Orange Purple Yellow
5
12
7
16
10. P(orange)
11. P(red or green)
12. P(not purple)
Green
10
GREEN
Theoretical
RED
M
ORANGE
Find the theoretical and experimental probability if the spinner is spun again.
Experimental
PURPLE
© Ging Wilson (All Things Algebra®, LLC), 2020