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• S-Sit and organize materials for the lesson… Get your journal and a sharpened pencil.
• E-Examine and follow teacher’s directions… On your next blank page, write today’s date at the top. Title this page ~ Probability
• T-Take the challenge! Write the CQ in journal below the title:
Challenge Question: What operation do you use to solve compound probability if you see the word “and” in the word problem? What
about if you see the word “or”?
Warm-Up: What do you remember about probability from 5th and 6th grade?
Make a list of everything you remember in your journal now!
MARCH 12, 20154/2/2015
REVIEW OF REVIEW OF PROBABILITYPROBABILITY
PROBABILITY Probability is a measure of how likely
an event is to occur.
For example – Today there is a 60% chance of rain.The odds of winning the lottery are a
million to one.What are some examples you can
think of?
PRESENTATION
PROBABILITY Probabilities are written as:
Fractions from 0 to 1
Decimals from 0 to 1
Percents from 0% to 100%
PRESENTATION
PROBABILITY If an event is certain to happen, then
the probability of the event is 1 or 100%.
If an event will NEVER happen, then the probability of the event is 0 or 0%.
If an event is just as likely to happen as to not happen, then the probability of the event is ½, 0.5 or 50%.
PRESENTATION
PROBABILITYImpossible Unlikely Equal Chances Likely Certain
0 0.5 1
0% 50% 100%
½
PRESENTATION
When a meteorologist states that the chance of rain is 50%, the meteorologist is saying that it is equally likely to rain or not to rain.
If the chance of rain rises to 80%, it is more likely to rain.
If the chance drops to 20%, then it may rain, but it probably will not rain.
PROBABILITY
PRESENTATION
PROBABILITY What are some events that will never
happen and have a probability of 0%?
What are some events that are certain to happen and have a probability of 100%?
What are some events that have equal chances of happening and have a probability of 50%?
PRESENTATION
PROBABILITY The probability of an event is written:
P(event) = number of ways event can occur
total number of outcomes
PRESENTATION
PROBABILITYP(event) = number of ways event can
occur total number of outcomes
An outcome is a possible result of a probability experiment
When rolling a number cube, the possible outcomes are 1, 2, 3, 4, 5, and 6
PRESENTATION
PROBABILITYP(event) = number of ways event can
occur total number of outcomes
An event is a specific result of a probability experiment
When rolling a number cube, the event of rolling an even number is 3 (you could roll a 2, 4 or 6).
PRESENTATION
PROBABILITYP(event) = number of ways event can occur
total number of outcomes
What is the probability of getting heads when flipping a coin?
P(heads) = number of ways = 1 head on a coin = 1 total outcomes = 2 sides to a coin = 2
P(heads)= ½ = 0.5 = 50%
PRESENTATION
1. What is the probability that the spinner will stop on part A?
2. What is the probability that the spinner will stop on
(a) An even number?(b) An odd number?
3. What is the probability that the spinner will stop in the area marked A?
ABC D
3 12
AC B
TRY THESE:
LEARNING TOGETHER
PROBABILITY WORD PROBLEM: Lawrence is the captain of his track team.
The team is deciding on a color and all eight members wrote their choice down on equal size cards. If Lawrence picks one card at random, what is the probability that he will pick blue?
Number of blues = 3Total cards = 8
yellow
red
blue blue
blue
green black
black
3/8 or 0.375 or 37.5%
LEARNING TOGETHER
Donald is rolling a number cube labeled 1 to 6. What is the probability of the following?
a.) an odd number odd numbers – 1, 3, 5 total numbers – 1, 2, 3, 4, 5, 6
b.) a number greater than 5 numbers greater – 6 total numbers – 1, 2, 3, 4, 5, 6
LET’S WORK THESE TOGETHER
3/6 = ½ = 0.5 = 50%
1/6 = 0.166 = 16.6%
LEARNING TOGETHER
1. What is the probability of spinning a number greater than 1?
2. What is the probability that a spinner with five congruent sections numbered 1-5 will stop on an even number?
3. What is the probability of rolling a multiple of 2 with one toss of a number cube?
TRY THESE:21
3 4
LEARNING TOGETHER
REVIEW OF REVIEW OF TOTAL POSSIBLE TOTAL POSSIBLE
OUTCOMESOUTCOMES
TREE DIAGRAM – TOTAL POSSIBLE OUTCOMES
Make a tree diagram to represent the following situation:
I have 3 different colored marbles in a bucket (red, yellow, and blue) and a number cube (dice). If I draw
out one marble from the bucket and roll the dice once, what are all the possible outcomes?
Red
Yellow
Blue
123456123456
123456
How many total possible outcomes?
PRESENTATION
Make an area model to represent the following situation:
I have 3 different colored marbles in a bucket (red, yellow, and blue) and a number cube (dice). If I draw out one marble from the
bucket and roll the dice once, what are all the possible outcomes?
AREA MODEL – TOTAL POSSIBLE OUTCOMES
1 2 3 4 5 6
Red R1 R2 R3 R4 R5 R6
Yellow
Y1 Y2 Y3 Y4 Y5 Y6
Blue B1 B2 B3 B4 B5 B6
PRESENTATION
REVIEW OF HOW REVIEW OF HOW TO CALCULATE TO CALCULATE
PROBABILITY OF PROBABILITY OF COMPOUND COMPOUND
EVENTSEVENTS
“AND” VS. “OR” I have 3 different colored marbles in a bucket
(red, yellow, and blue) and a number cube (dice). If I draw out one marble from the bucket and roll the dice once:
1. What is the probability of drawing a yellow and rolling an even?
2. What is the probability of drawing a yellow or rolling an even?
PRESENTATION
With replacement ~ the object is replaced before the next object is drawn (the total stays the same for both probabilities) Ex. You have a bucket with 10 marbles (5 blue, 3
red and 2 green). What is the probability of drawing a blue, replacing it, and then drawing a green?
Without replacement ~ the object is not replaced before the next object is drawn (the total is different for both probabilities) Ex. You have a bucket with 10 marbles (5 blue, 3
red and 2 green). What is the probability of drawing a blue, setting it aside, and then drawing a green?
“WITH REPLACEMENT” VS. “WITHOUT REPLACEMENT”
PRESENTATION
Adam has a bag containing four yellow gumdrops and one red gumdrop. he will eat one of the gumdrops, and a few minutes later, he will eat a second gumdrop.a) Draw the tree diagram for the experiment.b) What is the probability that Adam will eat a yellow gumdrop first and a green gumdrop second?c) What is the probability that Adam will eat two yellow gumdrops?d) What is the probability that Adam will eat two gumdrops with the same color? e) What is the probability that Adam will eat two gumdrops of different colors?
“WITH REPLACEMENT” VS. “WITHOUT REPLACEMENT”
LEARNING TOGETHER
How long do I have? 45 mins What do I do? By yourself, complete the Unit
5 Common Assessment
ASSESSMENT
ASSESSMENT
ASSESSMENT
ASSESSMENT
ASSESSMENT
ASSESSMENT
ASSESSMENT
WRAP-UP
W- Write homework assignment in planner (Unit 5 Common Assessment due on Tuesday, April 9th)R- Return materials and organize suppliesA-Assess how well you worked in a group or individually
Did I/we maintain operating standards?Did I/we work toward learning goals?Did I/we complete tasks?
P- Praise one another for high quality work: Tickets for a “P” performance overall