Download 11-4 Guided Notes Sample Spaces

NAME _____________________________________________ DATE ____________________________ PERIOD _____________
11-4 Guided Notes
Sample Spaces
Sample Spaces The set of all possible outcomes of an experiment is called a sample space. One way to picture
a sample space is to make a tree diagram.
Example 1: Make a tree diagram to show the sample
Example 2: You have an equal chance of winning
space if a number cube is rolled and a coin is tossed.
LIST ALL OUTCOMES
(W) or losing (L) a game. Make a tree diagram to
show the outcomes when playing three games. Find
P(winning exactly 1 game).
Exercises
Use a tree diagram to find the possible outcome in the sample space.
1. Roll a six-sided number cube and choose a letter from the word “AND”
Find each probability if you spin Spinner 1 and Spinner 2.
2. P(2 and A)
3. P(3 and vowel)
4. P(even number and consonant)
Chapter 12
41
Glencoe Algebra 1
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
11-4 Guided Notes (continued)
Outcome and Probability of Multiple Independent Events
Outcomes of Multiple
Independent Events
(Number of Outcomes)n
Probability of Multiple
Independent Events
P(A)n
Number of Outcomes for Rolling 5 Dice = 65 = 7,776
8
P(8 Heads in a Row) =
1
1
  =
 2  256
Exercises
Find the number of possible outcome in each sample space.
1. Tossing two pennies
2. Tossing a penny and a number cube
3. Tossing two pennies and tossing a number cube
4. Flipping 4 coins and Tossing 3 number cubes
5. 4-digit password
Find the probability of each event.
6. Someone having the same Initials as you.
7. Getting 5 face cards in a row (putting the card back each time)
8. Having all even numbers in your Social Security number.
Chapter 12
42
Glencoe Algebra 1