© Edgenuity, Inc. 1 Warm-Up Understanding Probability Lesson Goals Identify the probability of an event. of the Calculate the probability of an event. Define probability. of an event. Analyze the Words to Know Fill in this table as you work through the lesson. You may also use the glossary to help you. complement all elements in the universal set, those in the given set event any of a sample space; an observable occurrence outcome a possible of an event probability the likelihood that an event will sample space the of all possible outcomes for an event Lesson Question ? W K 2
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© Edgenuity, Inc. 1
Warm-Up Understanding Probability
Lesson Goals
Identify the probability
of an event.
of theCalculate theprobability of an event.
Define probability.
of an event.
Analyze the
Words to Know
Fill in this table as you work through the lesson. You may also use the glossary to help you.
complement all elements in the universal set, those in the given set
event any of a sample space; an observable
occurrence
outcome a possible of an event
probability the likelihood that an event will
sample space the of all possible outcomes for an event
Lesson Question
?
WK2
© Edgenuity, Inc. 2
Warm-Up Understanding Probability
Coin Flip Results
A student flips a coin 100 times to see whether it lands heads up or tails up. The results are shown below.
Heads Tails
49 51
= = =100
heads
total flips49%
= = =51tails
total flips0.51
© Edgenuity, Inc. 3
Understanding ProbabilityInstruction
Possible Outcomes
You have a bag of marbles that contains 5 red, 3 purple, 2 green, and 2 blue marbles.
R
BR R
P
RG
B
G
R
P P
If you select one marble from the bag, what are the possible outcomes?
red, , purple, green
All possible are called the sample space.
The sample space is going to be the entire bag, or all of the marbles.
An event is a outcome or set of outcomes from an experiment.
Possible events with this bag of marbles are pulling out a red marble or pulling out 2 different colored marbles.
In this bag of marbles, there are possible events.
2Slide
© Edgenuity, Inc. 4
Understanding ProbabilityInstruction
4Slide
Probability and Outcomes
Probability is the
that an event will happen.
What is the likelihood that you will pull out a red marble?
There is a out of 12
likelihood of getting a red marble.
R
BR R
P
RG
B
G
R
P P
Formula for Probability
PROCEDURE
=ProbabilityNumber of desired outcomes
Total number of outcomes
You have a bag of marbles that contains 5 red, 3 purple, 2 green, and 2 blue marbles.
Probability of drawing a purple marble:
= = =12
1P( )
#of purplemarbles
total #of marblesP
Probability of drawing a green marble:
= = =2
P( )#of greenmarbles
total #of marblesG
© Edgenuity, Inc. 5
Understanding ProbabilityInstruction
6
9
Slide
Probability and Outcomes
=ProbabilityNumber of desired outcomes
Total number of outcomes
Fill in the missing values in the table.
Events Probability
Land on Purple =3
6
1
20.50 50%
Land on Red =2
6
1
333.3%
Land on Green
1
6
Order of Likelihood
Probabilities have a value between 0 and . The order of likelihood is the
same as the order of the number of ways an event can occur.
0 1 Unlikely
EquallyLikely
Likely
12
© Edgenuity, Inc. 6
Understanding ProbabilityInstruction
Complement of Events
The complement of an event is all the other possible outcomes in the
sample space that are the desired event.
If you spin the spinner and it lands on green, what is the complement of that event?
The complement of the event would be red,
orange, , blue, or purple.
g
g
P( )#of green segments
total noof segments
P(not )#of not green segments
total noof segments
5
6
= =
= =
P(complement) = − P(desired event)
9Slide
11
Possible and Impossible Events
What events are possible when spinning a spinner with A, B, C, D, E, and F on it?
landing on
landing on a
What events are impossible?
landing on W
landing on a
A
B
C
D
E
F
© Edgenuity, Inc. 7
Understanding ProbabilityInstructionSlide
What is the complement of drawing a purple marble?
The complement of drawing a purple marble is drawing red, blue,
or marbles.
What is the probability of the complement of drawing a purple marble?
− = − = =1 P( ) 13
12
9
12p
R
BR R
P
RG
B
G
R
P P
Formula for Opposite Events
P(Event) + P(Complement) =
Complete the table.
Event P(Event) Complement (Opposite) P(Complement)
Drawing a face card =12
52
3
13
Drawing a non-face card − =1
10
13
Flipped coin landing heads up
1
2
− =11
2
Rolling a 4 on a number cube − =1
5
6Not rolling a 4 5
6
11
13
© Edgenuity, Inc. 8
Summary Understanding Probability
Lesson Question How can you represent the likelihood that an event will happen?
Answer
Use this space to write any questions or thoughts about this lesson
?
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