Download Probability Learning Strategies

Probability Learning Strategies
What should students be able to do within this interactive?
Students should be able to select a coin, spinner or die in order to carry out an
event in a probability experiment.
Students should be able to read the resulting list of possible outcomes.
Students should be able to see and understand how those outcomes came about.
Students should be able to identify the outcomes that are favorable to the event.
Students should be able to see that the probability of the event occurring is based
on the definition:
Probability = number of favorable outcomes___
total number of possible outcomes
Common mistakes made by students:
Not understanding where all the possible outcomes came from.
Not seeing all the outcomes that are favorable.
Not understanding the definition of probability.
Curriculum Connections:
 Please note all of the following correlations match outcomes in the new
Mathematics Kindergarten to Grade 9 Program of Studies (2007).
Grade 6 Statistics and Probability SO4: Demonstrate an understanding of probability by:
identifying all possible outcomes of a probability experiment
differentiating between experimental and theoretical probability
determining the theoretical probability of outcomes in a probability experiment
determining the experimental probability of outcomes in a probability experiment
comparing experimental results with the theoretical probability for an experiment.
Grade 7 Statistics and Probability SO4: Express probabilities as ratios, fractions and
percents.
Grade 7 Statistics and Probability SO5: Identify the sample space (where the combined
sample space has 36 or fewer elements) for a probability experiment involving two
independent events.
Grade 7 Statistics and Probability SO6: Conduct a probability experiment to compare the
theoretical probability (determined using a tree diagram, table or other graphic organizer)
and experimental probability of two independent events.
Junior High Math Interactives
2006 Alberta Education (www.LearnAlberta.ca)
Statistics and Probability/ Probability/Objective Interactive/ Learning Strategies
Page 1 of 6
Grade 8 Statistics and Probability SO2: Solve problems involving the probability of
independent events.
Print Activity notes:
*Note: The Print Activity is not intended to be an assessment piece
It is necessary for students to use the “Explore It” mode to work through the Print
Activity. Students will be asked to select a coin, die, or spinner and an event to carry out.
They will be expected to identify all the possible outcomes and specifically those that are
the favorable outcomes. The student will be expected to state the probability of the event
occurring by using the theoretical definition.
The Print Activity may be opened in Word Format instead of PDF so that changes to
questions can be made.
Probability Print Activity Key
Use the “Explore It” mode to answer the following questions:
1. Make the following selections on the left side of the screen:
View: Tree
Event One: 1 Coin
Event Two: None
Show Me: Individual Outcome
a. The letter H represents tossing a head.
b. The letter T represents tossing a tail.
c. The possible outcomes for tossing a coin are _H_, _T_.
1
d. The probability of an individual outcome is
.
2
2. Make the following selections on the left side of the screen:
a. Select Event One: 1 Coin
Event Two: 1 Coin.
Show Me: Individual Outcome
i. The 4 possible outcomes are _H_,_H_ _H_,_T_
T_,_H_ _T_,_T_.
ii. Fill in the correct values for tossing 2 tails:
1
Favorable Outcomes(s): 1 Possible Outcomes: 4 Event Probability:
4
Junior High Math Interactives
2006 Alberta Education (www.LearnAlberta.ca)
Statistics and Probability/ Probability/Objective Interactive/ Learning Strategies
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b. Select Show Me: At Least One Head.
i. The favorable outcomes are H, H H, T T,H.
ii. Fill in the correct values:
Favorable Outcomes(s): 3 Possible Outcomes: 4 Event Probability: 3
c. Select from Show Me: One Tail.
4
i. The favorable outcomes are H, T T, H.
ii. Fill in the correct value:
2
Favorable Outcomes(s): 2
Possible Outcomes: 4 Event Probability:
1
=
4
3. Make the following selections on the left side of the screen:
View: Tree
Event One: 1 Spinner
Event Two: 1 Spinner
Show Me: One White
a. The favorable outcomes are W, R W, B R, W B, W.
b. Fill in the correct values:
4
Favorable Outcomes(s): 4 Possible Outcomes: 9 Event Probability:
9
c. Select Show Me: A White or a Red.
i. The favorable outcomes are W, W W, R W, B R, W R, R R, B B, W B, R.
ii. Fill in the correct values:
Favorable Outcomes(s): 8
8
Possible Outcomes: 9 Event Probability:
9
4. Make the following selections on the left side of the screen:
View: Tree
Event One: 1 Die
Event Two: 1 Die
Show Me: Pair of Numbers
a. The favorable outcomes are 1,1 2,2 3,3 4,4 5,5 6,6.
Junior High Math Interactives
2006 Alberta Education (www.LearnAlberta.ca)
Statistics and Probability/ Probability/Objective Interactive/ Learning Strategies
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2
b. Fill in the correct values:
Favorable Outcomes(s): 6 Possible Outcomes: 36 Event Probability
6 1
=
36 6
c. Select Show Me: Sum Less Than 6.
i. The favorable outcomes are 1,1 1,2 1,3 1,4 2 ,1 2,2 2,3 3,1 3,2 4, 1.
ii. Fill in the correct values:
Favorable Outcomes(s): 10 Possible Outcomes: 36 Event Probability:
10
5
=
36 18
d. Use the set of all possible outcomes for a pair of dice to answer the following:
i. The outcomes that have a sum of 4 are: 1, 3 2, 2 3, 1.
ii. The probability of rolling a sum of 4 on a pair of dice is:
3
1
=
36 12
iii. The outcomes that have at least one 6 are: 1, 6 2, 6 3, 6 4, 6 5, 6 6, 6 6, 1
6, 2 6, 3 6, 4 6, 5 .
iv. The probability of rolling at least one 6 on a pair of dice is
11
.
36
5. Make the following selections on the left side of the screen:
View: Tree
Event One: 1 Spinner
Event Two: 1 Die
Show Me: Number Less Than Three
a. The favorable outcomes are W, 1 W, 2 B, 1 B, 2 R, 1 R, 2.
b. Fill in the correct values:
Favorable Outcomes(s): 6
Possible Outcomes: 18 Event Probability:
6
1
=
18
3
c. From the set of all possible outcomes for a spinner and a die:
i. The outcomes that have the colour red or blue with a number greater than 5
are R, 6 B, 6.
Junior High Math Interactives
2006 Alberta Education (www.LearnAlberta.ca)
Statistics and Probability/ Probability/Objective Interactive/ Learning Strategies
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ii. The probability of this event occurring is
2
1
=
18
9
6. Make the following selections on the left side of the screen:
View: Chart
Event One: 1 Coin
Event Two: 1 Coin
Show Me: At Least One Head
a. The favorable outcomes are H, H H, T T, H.
b. Fill in the correct values:
3
4
Favorable Outcomes(s): 3 Possible Outcomes: 4 Event Probability:
c. Select Show Me: One Tail.
i. The favorable outcomes are H, T T, H.
ii. Fill in the correct value:
Favorable Outcomes(s): 2 Possible Outcomes: 4 Event Probability:
2
1
=
4
2
7. Make the following selections on the left side of the screen:
View: Chart
Event One: 1 Spinner
Event Two: 1 Die
Show Me: Number Greater Than 5
a. The favorable outcomes are W, 6 B, 6 R, 6.
b. Fill in the correct numbers:
Favorable Outcomes(s): 3
Possible Outcomes: 18 Event Probability:
3
1
=
18
6
c. Use the set of all possible outcomes for a spinner and a die to answer the
following:
i. The outcomes that have the colour red or white with the number greater than 4
are:
R, 5 R, 6 W, 5 W, 6.
Junior High Math Interactives
2006 Alberta Education (www.LearnAlberta.ca)
Statistics and Probability/ Probability/Objective Interactive/ Learning Strategies
Page 5 of 6
ii. The probability of this event occurring is
4
2
=
18
9
8. Place a check () beside the correct definition of probability:
______
___
Probability = number of possible outcomes
number of favorable outcomes
Probability = number of favorable outcomes
number of possible outcomes
Junior High Math Interactives
2006 Alberta Education (www.LearnAlberta.ca)
Statistics and Probability/ Probability/Objective Interactive/ Learning Strategies
Page 6 of 6