COURSE 2 LESSON 12-4 a.Make a table to show the sample space for tossing two coins. Write the...
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COURSE 2 LESSON 12-4 a. Make a table to show the sample space for tossing two coins. Write the outcomes as ordered pairs. Find P(T, T), the probability of tossing two tails. There are 4 possible outcomes. H T H T H H ( , ) ( , ) T H ( , ) H T ( , ) T T 12-4 There is one outcome for tossing two tails. There are four possible outcomes. So the probability of tossing two tails is . 1 4 Sample Spaces
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Transcript of COURSE 2 LESSON 12-4 a.Make a table to show the sample space for tossing two coins. Write the...
COURSE 2 LESSON 12-4COURSE 2 LESSON 12-4
a. Make a table to show the sample space for tossing two coins. Write the outcomes as ordered pairs.
b. Find P(T, T), the probability of tossing two tails.
There are 4 possible outcomes.
H T
H
T
H H( , )
( , )T H
( , )H T
( , )T T
12-4
There is one outcome for tossing two tails. There are four possible
outcomes. So the probability of tossing two tails is .14
Sample Spaces
Suppose you can go west or northwest by train, bus, or car.
COURSE 2 LESSON 12-4COURSE 2 LESSON 12-4
a. Draw a tree diagram to show the sample space.
There are 6 possible outcomes.
Direction
West
Northwest
West
Northwest
West
Northwest
Outcomes
Train, West
Train, Northwest
Bus, West
Bus, Northwest
Car, West
Car, Northwest
Vehicle
Train
Bus
Car
12-4
Sample Spaces
(continued)
COURSE 2 LESSON 12-4COURSE 2 LESSON 12-4
b. What is the probability of a random selection that results in a bus trip west?
There is one favorable outcome (bus, west) out of six possible outcomes.
The probability is .16
Direction
West
Northwest
West
Northwest
West
Northwest
Outcomes
Train, West
Train, Northwest
Bus, West
Bus, Northwest
Car, West
Car, Northwest
Vehicle
Train
Bus
Car
12-4
Sample Spaces
How many kinds of coin purses are available if the purses come
in small or large sizes and colors red, blue, yellow, and black?
COURSE 2 LESSON 12-4COURSE 2 LESSON 12-4
Use the counting principle.
Size Color
number of choices number of choices
2 4 = 8
There are 8 different kinds of coin purses available.
Sizes Colorssmall redlarge blue
yellowblack
12-4
Sample Spaces
You pick a card at random from cards labeled 1, 2, or 3 and then spin a spinner divided into thirds, each of which is labeled with numbers 1, 2, or 3.
COURSE 2 LESSON 12-4COURSE 2 LESSON 12-4
4. What is the probability of picking a card and spinning the same number?
1. Make a table showing the sample space.
2. How many possible outcomes are there?
3. What is the probability of two 3s?
1 2 31 (1, 1) (2, 1) (3, 1)2 (1, 2) (2, 2) (3, 2)3 (1, 3) (2, 3) (3, 3)
9
19
13
12-4
Sample Spaces
