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60
Using the TI-73: A Guide for Teachers
Probability
© 1998 T
EXAS
I
NSTRUMENTS
I
NCORPORATED
3. Compare the group experimental probabilities with the
theoretical probabilities from the tree diagram.
a. Go to
L
3
and calculate the group probabilities by
dividing each entry in
L
3
by the total number of
trials (sum of
L
2
).
3 " $ to highlight
L
3
(See screen at the right.)
- v Z F - v " " J
- v Z E b
b. In
L
4
enter the frequencies from the tree diagram.
(See screen at the right.)
" to the first line of
L
4
Enter the frequencies from the tree diagram. Press
b after each list item.
c. Then in
L
5
, find the theoretical probabilities by
dividing the frequencies in
L
4
by the total of
L
4
,
which is 32.
" $ to highlight
L
5
- v Q F - v " " J
- v Q E b
➪
Counting the frequency of
the points on the tree
diagram resulted in the
frequencies listed in
L
4
.
4. Compare the experimental probabilities in
L
3
to the
theoretical probabilities in
L
5
. (See screen at the right.)
Wrap-up for Part B
Have students write in their journals the difference
between experimental and theoretical probability.
Assessment Suggestion for Part B
Ask students: Suppose you toss 4 coins. How many
heads are most likely to occur? Explain.
Extensions
♦ Find the probability of two equally likely events using
combinations in Pascal’s Triangle.
♦ Plot a histogram using the theoretical probabilities.
♦ Draw a pie chart comparing frequencies to total
number of possible outcomes.