Transcript Chapter 6 Review - Port Washington School District

Chapter 6 Review
Jeopardy Tomorrow
Test is Friday
True or False
• Experimental probability is based on knowing all
the equally likely outcomes of an experiment.
• FALSE – theoretical probability is when you
figure out all of the possible outcomes.
Matching
The type of probability that is is based on knowing
all the equally likely outcomes of an experiment.
A. Experimental
B. Theoretical
Fill in the blank!
• ____________ probability is based on knowing
all the equally likely outcomes of an experiment.
• THEORETICAL probability is when you figure
out all of the possible outcomes.
Probabilities are written as fractions
What is the probability of getting a 5 if you role
a fair dice?
What is the probability of getting a 4 if you
role a fair dice?
What is the probability of getting a 1 if you
role a fair dice?
ODDS IN FAVOR
What are the chances of something happening
What are the
odds in favor of
stopping on an
even number?
ODDS IN FAVOR
What are the chances of something happening
What are the
odds in favor of
stopping on a
number less
than 4?
ODDS AGAINST
What are the chances of something NOT
happening?
What are the
odds against
stopping on a
number greater
than 5?
ODDS AGAINST
What are the
odds against of
stopping on a
multiple of 3?
Draw a Tree Diagram
How many outcomes are
possible if someone rolls a die
and then spins the spinner.
Draw a Tree Diagram
For lunch you have a choice of sandwich,
salad, or hot lunch. For sides you can get
a vegetable, a fruit, or cookies. Drinks are
milk or juice. Give the total number of
outcomes for lunch. Use a tree diagram.
A travel agent plans trips for tourists from
Chicago to Miami. He gives them three ways
to get from town to town: airplane, bus, train.
Once the tourists arrive, there are two ways to
get to the hotel: hotel van or taxi. Draw a tree
diagram to illustrate the possible choices for
the tourists.
Transportation Cost
Airplane
$350
Bus
$150
Train
$225
Hotel Van $60
Taxi
$40
BONUS: The cost of
each type of
transportation is given
in the table below.
Determine the cost for
each outcome.
Counting Principles
How many lunches can you choose from 3
different drinks and 4 different sandwiches?
Counting Principle Practice
• When shopping you can pick from 5 pieces of
meat, 3 starches, and 7 veggies for dinner.
How many dinners can you make?
• When making an ice cream Sunday you can
choose from 10 different flavors and 20
different toppings. How many different
Sundays can you make?
Counting Principle
How many outfits are possible from a pair
of jean or khaki shorts and a choice of
yellow, white, or blue shirt?
Criss-Cross Multiply:
Who can do a problem on the board
and explain it to the class?
𝑎
15
28
1.6
=
162
45
𝑥
350
=
𝑥
12
5
𝑚
=
=
48
175
0.2
13
19
22
17
3.4
=
209
𝑐
=
57
𝑦
The trick to word problems
The top has to match the top and the
bottom has to match the bottom
𝑚𝑖𝑙𝑒𝑠
ℎ𝑜𝑢𝑟
=
$
𝑖𝑐𝑒 𝑐𝑟𝑒𝑎𝑚
𝑚𝑖𝑙𝑒𝑠
ℎ𝑜𝑢𝑟
𝑎𝑏𝑠𝑒𝑛𝑐𝑒𝑠
𝑡𝑜𝑡𝑎𝑙 𝑑𝑎𝑦𝑠
=
=
$
𝑖𝑐𝑒 𝑐𝑟𝑒𝑎𝑚
𝑎𝑏𝑠𝑒𝑛𝑐𝑒𝑠
𝑡𝑜𝑡𝑎𝑙 𝑑𝑎𝑦𝑠
The first sentence usually makes the first
fraction!
Proportion Problem
If Mike is absent 1 out of every 15 days of
school, how many days is he absent during a
school year of 180 days?
𝑎𝑏𝑠𝑒𝑛𝑐𝑒𝑠
𝑡𝑜𝑡𝑎𝑙 𝑑𝑎𝑦𝑠
=
𝑎𝑏𝑠𝑒𝑛𝑐𝑒𝑠
𝑡𝑜𝑡𝑎𝑙 𝑑𝑎𝑦𝑠
X = 12
Proportion Problem
If a baseball player averages 2 hits for every 7
times he bats how many hits will he have when
he bats 28 times?
ℎ𝑖𝑡𝑠
ℎ𝑖𝑡𝑠
=
𝑡𝑖𝑚𝑒𝑠
𝑡𝑖𝑚𝑒𝑠
X=8
Probability continued …
Totsakan enlarged the size of a photo
to a height of 18 in. What is the new
width if it was originally 2 in tall and 1
in wide?
Probability continued …
• A triangle is 20 in tall and 5 in wide. If
it is reduced to a width of 1 in then
how tall will it be?
• Chart to Proportion Equation
A ratio is a comparison of
two numbers or measures
using division.
A ratio can be written three ways:
3:5
3/5
3 to 5
BACK
Ratio Wording
• At the carnival the ratio of rides to games was
9:8. For every _____ games there are _____
rides.
• In a bag of candy for every 3 chocolate pieces
there are 7 sugar pieces. What is the ratio of
chocolate pieces to sugar pieces?
Unit Rate
To find the Unit Rate, you would find
the cost or amount for 1. YOU NEED
TO TURN IT INO A CRISS-CROSS
MULTIPLY PROBLEM.
“How much for just 1?”
BACK
Unit Rate Problems
• An industrial machine is able to make 9 pens
in 3 seconds. What is the rate made per
second?
• It took a pet store 10 weeks to sell 80 cats.
What is the rate sold per week?
Comparing Using Unit Rate
A supermarket had bags of red grapes
for $27.09 for 7. The also had bags of
green grapes priced at $14.96 for 4.
Which type of grape is most expensive?
Writing Equations to Represent Unit
Rate
Every cup is 8 ounces. Write an equation to
express the total number of ounces (Z) in
(y) cups.
Every quarter is 5 nickels. Write an
equation to express the total number of
nickels (Z) in (y) quarters.