EXPERIMENTAL PROBABILITY
(An Introduction to Probability)
INTRODUCTION
There is a 30% chance
of rain tomorrow.
Probability is
EVERYWHERE!!
4 out of 5 dentists
surveyed prefer
Colgate toothpaste
Joe Slugger has a
batting average of 0.343
TERMINOLOGY
probability:
the measure of the likelihood that a specific event will occur
outcome:
a possible result of an experiment
event:
a set of outcomes with the same result
trial:
one round of a probability experiment
experimental probability:
determined using the results of
an experiment or simulation
Experimental probability measures what actually happened
and not what is expected to happen.
experimental probability =
Unit 7 Lesson 1
number of successful trials
total number of trials
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Example 1:
A lottery issued 1000 tickets which were all sold. Determine the
probability of winning if you hold:
a)
Example 2:
Example 3:
Unit 7 Lesson 1
1 ticket
b)
100 tickets
A bag contains 3 black marbles, 4 red marbles, and 5 striped
marbles. If a marble is picked at random, determine the
probability that it is:
a)
black
b)
red
c)
striped
d)
orange
Determine the probable number of times that the spinner should
stop on the star in 2000 spins.
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Example 4:
a)
For the spinner shown, determine the probability of each event.
the spinner stops on a number equal to or less than 3
8
1
7
b)
the spinner stops on an even number
c)
the spinner stops on a number from 1 to 8
d)
the spinner stops on a number greater than 8
e)
the spinner stops on a multiple of 3
2
E
x 3
6
a
5
4
m
p
l event,
If E is a certain
then P(E)e = 1.
If E is an impossible
event, then P(E)
3 = 0.
:
F
If A and B are
o
complementary
r
events, then
f)
the spinner does not stop on a multiple of 3
P(A) + P(B) = 1.
t
h
e
Example 5:
The results of rolling a six-sided die are displayed in the graph.
a)
State the number of times
that a 5 was rolled.
b)
State the total number of trials.
c)
w
h
e
e
l
s
Determine the experimental probability of rolling a 6.
h
Express the answer as a fraction in lowest terms, as a decimal and asoa percent.
w
n
,
Unit 7 Lesson 1
d
e
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