Download HW: pg. 477/5-12 pg. 482/5-14 Warm up: 1) You have 4 pairs of

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June 03, 2013
HW: pg. 477/5-12
pg. 482/5-14
Warm up:
1) You have 4 pairs of pants and 8 shirts. How
many different outfits can you make?
2) You roll a die and pick a card from a standard
deck. How many possible outcomes are there?
June 03, 2013
What is a sample space?
the set of all possible outcomes in a probability
experiment
June 03, 2013
A store is selling brown and black sandals in
sizes 7, 8, or 9. Find the sample space.
June 03, 2013
Organized list vs. tree diagram
June 03, 2013
Fundamental Counting Principle
If event M has m possible outcomes and event N
has n possible outcomes, then event M followed
by event N has m x n possible outcomes.
ex: A coin is tossed and a number cube is rolled.
June 03, 2013
Find the total number of outcomes in each
situation.
1) Rolling 2 dice and flipping a coin.
2) Making a sandwich with ham, turkey, or roast
beef; swiss or provolone cheese; and mustard or
mayonaise.
3) Choosing a 4 letter password using only
vowels.
4) Choosing a 6 character password using
letters or numbers.
5) A license plate with 4 letters and 2 digits.
June 03, 2013
The finals of the Northwest Swimming League
features 8 swimmers. If each swimmer has an
equally likely chance of finishing in the top two,
what is the probability that Ralph will be in first
place and Sarah will be in second place?
-Jake
-Tina
-Lana
-Ralph
-Ed
-Sarah
-Peter
-Aliah
June 03, 2013
Permutation
-an arrangement of objects in which order is
important
June 03, 2013
Two different letters are randomly selected from
the letters in the word math. What is the
probability that the first letter selected is m and
the second letter is h?
June 03, 2013
A password consists of 4 letters, of which none
are repeated. What is the probability that a
person could guess the entire password by
randomly selecting the four letters?
June 03, 2013
1) In how many ways can a president, vice
president, and secretary be randomly selected
from a class of 25 students?
2) How many ways can 6 runners come in 1st,
2nd, and 3rd place?
3) How many ways can you arrange the letters
in the word PRIME?
4) How many different 3 digit area codes can be
created if no digit can be repeated?
5) There are 156 ways for 2 cars to finish first
and second in a race. How many cars are in the
race?
June 03, 2013
1) In how many ways can a president, vice
president, and secretary be randomly selected
from a class of 25 students?
June 03, 2013
2) How many ways can 6 runners come in 1st,
2nd, and 3rd place?
June 03, 2013
3) How many ways can you arrange the letters
in the word PRIME?
June 03, 2013
4) How many different 3 digit area codes can be
created if no digit can be repeated?
June 03, 2013
5) There are 156 ways for 2 cars to finish first
and second in a race. How many cars are in the
race?
June 03, 2013
HW Solutions
June 03, 2013
June 03, 2013
A pizza parlor offers pepperoni, sausage,
onions, mushrooms, and anchovies as
toppings. How many different two-topping
pizzas are possible?
June 03, 2013
Combinations
- an arrangement of objects in which order is
not important
June 03, 2013
How many 3 topping pizzas are possible if there
are 7 toppings to choose from?
June 03, 2013
In how many ways can you pick 2 stickers from
a package of 7?
June 03, 2013
In how many ways can 3 students be chosen out
of 10 to present their projects at a craft fair?
June 03, 2013
1) Jose wants to purchase 2 best-selling out of
20 that are for sale. How many ways can he do
this?
2) On a math test you are given 6 questions and
have to choose 4 to answer. How many ways
can you do this?
3) A baseball coach has 13 players to fill 9
positions. How many teams can he play?
4) In a experiment, 2 units are chosen for testing
from every 500 units produced. How many ways
can these 2 units be selected?
June 03, 2013
1) Jose wants to purchase 2 best-selling out of
20 that are for sale. How many ways can he do
this?
June 03, 2013
2) On a math test you are given 6 questions and
have to choose 4 to answer. How many ways
can you do this?
June 03, 2013
3) A baseball coach has 13 players to fill 9
positions. How many teams can he play?
June 03, 2013
4) In a experiment, 2 units are chosen for testing
from every 500 units produced. How many ways
can these 2 units be selected?