Transcript Unit 1 Probability Tables

Probability Tables
We are learning to…find the probability
of a compound event.
Thursday, June 2, 2016
Vocabulary

Theoretical Probability - Probability that is
based on likelihood of an event happening
based on all the possible outcomes.


When calculating Theoretical Probability
we will not perform the experiment.
Today we will represent and analyze all
possible outcomes of an event by
making a Probability Table.
Directions for using an Probability Table:
1.
Read the probability situation carefully and determine the
two different events taking place.
2.
Draw a rectangle.
3.
Assign and label one side (length or width) of the
rectangle one event and do the same for the other event.
4.
Divide the length and the width into equal sections based
on the number of outcomes for each of the two events.
5.
Count the squares created in the rectangle to find the total
number of outcomes (this will be the denominator of your
fraction).
6.
Color in all favorable outcomes.
7.
Count all favorable outcomes (this will be the numerator of
your fraction).
8.
Simplify the fraction if possible.
Chris is rolling two number cubes and then finding the sum of the
two results. What is the theoretical probability that he will have a
sum greater than or equal to 5?
Number Cube #1
Probability Table:
Total Number of Outcomes:
1
2
3
4
5
6
7
2
3
4
5
6
7
8
3
4
5
6
7
8
9
4 5
6
7
8
9
10
5
6
7
8
9
10 11
6
7
8
9
1
2
3
10 11 12
4
5
6
Number Cube #2
36 Total Outcomes
What is the theoretical
probability that he will have
a sum greater than or equal
to 5?
30 5
  0.83  83.3%
36 6
Blue
Yellow
Red
Green
Samantha is flipping a coin and then spinning a spinner with
the colors red, blue, green and yellow. What is the theoretical
probability that she will flip heads and then spin a blue or a
green on the spinner?
Probability Table:
Total Number of Outcomes:
Coin
8 Total Outcomes
Heads
H/R
H/B
H/G
H/Y
Tails
T/R
T/B
T/G
T/Y
Red
Blue
Green Yellow
Spinner
What is the theoretical
probability that she will
flip heads and then spin
a blue or a green on the
spinner?
2 1
  0.25  25%
8 4