Unit 4 Chapter 8 Probability And Statistics Worksheet Page 31

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8-6
Experimental Probability
• paper bag
Work with a partner.
What You’ll LEARN
containing
10 colored
Draw one marble from the bag, record its
Find experimental
marbles
color, and replace it in the bag. Repeat this
probability.
50 times.
number of times color was drawn
Compute the ratio
for each
1.
NEW Vocabulary
total number of draws
color of marble.
experimental probability
theoretical probability
Is it possible to have a certain color marble in the bag and never
2.
draw that color?
Open the bag and count the marbles. Find the ratio
3.
REVIEW Vocabulary
number of each color marble
for each color of marble.
total number of marbles
proportion: a statement
of equality of two or
Are the ratios in Exercises 1 and 3 the same? Explain why or
4.
a
c
more ratios,
,
b
d
why not.
b
0, d
0
(Lesson 4-4)
In the Mini Lab above, you determined a probability by conducting
an experiment. Probabilities that are based on frequencies obtained
by conducting an experiment are called
experimental probabilities
.
Experimental probabilities usually vary when the experiment
NEW YORK
Performance Indicator
is repeated.
7.S.8 Interpret data to
Probabilities based on known characteristics or facts are called
provide the basis for
predictions and to
theoretical probabilities
. For example, you can compute the
establish experimental
theoretical probability of picking a certain color marble from a bag.
probabilities
Theoretical probability tells you what should happen in an experiment.
7.S.10 Predict the
Experimental Probability
outcome of an
experiment
Michelle is conducting an
Results of Rolling
7.S.12 Compare actual
experiment to find the probability
Two Number Cubes
results to predicted
16
of getting various sums when two
results
12
number cubes are rolled. The
8
results of her experiment are
4
given at the right.
0
According to the experimental
Sum
probability, is Michelle likely to
get a sum of 12 on the next roll?
Based on the results of the rolls so far, a sum of 12 is not very likely.
How many possible outcomes are there for a pair of number
cubes?
There are 6 6 or 36 possible outcomes.
400
Chapter 8 Probability

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