Texas Instruments TI-73VSC Teachers Guide - Page 65

Wrap-up for Part B, Assessment Suggestion for Part B, Extensions

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60 Using the TI-73: A Guide for Teachers 3. Compare the group experimental probabilities with the theoretical probabilities from the tree diagram. a. Go to L3 and calculate the group probabilities by dividing each entry in L3 by the total number of trials (sum of L2 ). 3 " $ to highlight L3 (See screen at the right.) - v Z F - v " " J - v Z E b Probability b. In L4 enter the frequencies from the tree diagram. (See screen at the right.) " to the first line of L4 Enter the frequencies from the tree diagram. Press b after each list item. c. Then in L5, find the theoretical probabilities by dividing the frequencies in L4 by the total of L4, which is 32. " $ to highlight L5 - v Q F - v " " J - v Q E b Á Counting the frequency of the points on the tree diagram resulted in the frequencies listed in L4. 4. Compare the experimental probabilities in L3 to the theoretical probabilities in L5. (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. © 1998 TEXAS INSTRUMENTS INCORPORATED

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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.