Transcript Lesson 14.2 Sample Space

14.2 Warm Up
1. Ms. Palomaa needs to pick a queen and king for her 1st hour class.
She has 10 girls and 12 boys in her class. How many different ways
can she pick a queen and king?
2. Moveo Dance Company is preparing for their dance performance.
They are trying to make as many different costumes from the pieces
that they have purchased. They have a red skirt, blue shorts, black
pants, a gray top, a white top, and a black t-shirt. How many different
costumes can they make?
14.2 Warm Up
Answers
1. Ms. Palomaa is rearranging her seating chart for 1st hour. She has 10
girls and 12 boys in her class. How many different ways can she arrange
her seating chart?
10 * 12 = 120 different ways
2. Moveo Dance Company is preparing for their dance performance.
They are trying to make as many different costumes from the pieces that
they have purchased. They have a red skirt, blue shorts, black pants, a
gray top, a white top, and a black t-shirt. How many different costumes
can they make?
3 * 3 = 9 different costumes
Lesson 14.2
Probability
Sample Space
Sample Space
Probability is the chance that something will
happen.
The result of each experiment is call an Event or
Outcome.
The set of all possible outcomes is the Sample
Space.
Because each probability is a fraction of the
sample space, the sum of the probabilities of all
the possible outcomes equals one.
Probability- Sample Space
Example: The probability of picking a red marble from a jar that
contains 4 red marbles and 6 blue marbles
There are 10 possible outcomes. You will either draw one of the 4
red marbles or one of the 6 blue marbles. So your sample space
will be 10
___?
In this example, the probability of picking a red marble would be:
2/5
4/10 or ________.
______
Given this example, the probability of picking a red
marble plus the probability of picking a blue marble
will equal 1 (or 100 percent).
Sample Space
If sample space means the set of all possible outcomes, then
what is the sample space for the situation below?
You have two quarters and you are flipping to see the outcome.
What is the sample space?
The sample space could be
{ HH, HT, TH, TT }
_________________
4
What is the size of the sample space? ___
Example: Find the sample space if a coin
is tossed then a dice is rolled.
(Heads,1)
1
2
Heads
3
(Heads,4)
4
(Heads,5)
5
6
(Heads,6)
2
(Tails,1)
(Tails,2)
3
(Tails,3)
1
Tails
4
6
(Heads,2)
(Heads,3)
5
(Tails,6)
(Tails,4)
(Tails,5)
What is the size of
the sample space?
12
How many total
outcomes are
there?
12
Example: Make a tree to find the sample space, then
answer the questions.
A card is picked from 1-4 and then a coin is flipped.
1
H
(1,H) (1,T)
2
T
H
3
T
(2,H), (2,T)
H
4
T
H
T
(3,H), (3,T), (4,H),(4,T)
8
What is the size of the sample space ____?
Summary:
In your own words, define sample space.
How confident do you feel in your ability to
find sample space?
Homework
Worksheet 14.2