Probability PowerPoint notes Probability PowerPoint notes

Probability PowerPoint notes

1. •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 5
th
and 6
th
grade?
Make a list of everything you remember in your journal now!
MARCH 12, 20154/2/2015

2. REVIEW OF REVIEW OF
PROBABILITYPROBABILITY

3. 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

4. PROBABILITY
Probabilities are written as:
Fractions from 0 to 1
Decimals from 0 to 1
Percents from 0% to 100%
PRESENTATION

5. 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

6. PROBABILITY
Impossible Unlikely Equal Chances Likely Certain
0 0.5 1
0% 50% 100%
½
PRESENTATION

7. 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

8. 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

9. PROBABILITY
The probability of an event is written:
P(event) = number of ways event can occur
total number of outcomes
PRESENTATION

10. PROBABILITY
P(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

11. PROBABILITY
P(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

12. PROBABILITY
P(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

13. 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?
AB
CD
31
2
A
CB
TRY THESE:
LEARNING TOGETHER

14. 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 = 3
Total cards = 8
yellow
red
blue blue
blue
green
black
black
3/8 or 0.375 or 37.5%
LEARNING TOGETHER

15. 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

16. 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
34
LEARNING TOGETHER

17. REVIEW OF REVIEW OF
TOTAL TOTAL
POSSIBLE POSSIBLE
OUTCOMESOUTCOMES

18. 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
Yello
w
Blue
1
2
3
4
5
6
1
2
3
4
5
6
1
2
3
4
5
6
How many
total possible
outcomes?
PRESENTATION

19. 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
YellowY1 Y2 Y3 Y4 Y5 Y6
Blue B1 B2 B3 B4 B5 B6
PRESENTATION

20. REVIEW OF HOW REVIEW OF HOW
TO CALCULATE TO CALCULATE
PROBABILITY OF PROBABILITY OF
COMPOUND COMPOUND
EVENTSEVENTS

21. “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

22. 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

23. 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

24. How long do I have? 45 mins
What do I do? By yourself, complete the Unit 5
Common Assessment
ASSESSMENT

25. ASSESSMENT

26. ASSESSMENT

27. ASSESSMENT

28. ASSESSMENT

29. ASSESSMENT

30. ASSESSMENT

31. WRAP-UP
W- Write homework assignment in planner (Unit 5
Common Assessment due on Tuesday, April
9th)
R- Return materials and organize supplies
A-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