Sample Space
Why is a sample space useful?
What does the word "and" mean in Dependent and Independent probabilities.
Multiply!
What does the "line" mean in P(A|B)
Given
What is the Difference Between a Mutually Exclusive and Non Mutually Exclusive event?
Mutually Exclusive-Events CANNOT happen at the same time.
NON-Mutually Exclusive-Events CAN happen at the same time.
Does order matter in a "Combination?"
Combination-Order does NOT matter
What are the different methods that we learned that we can use to form a sample space
List
Tree Diagram
Two Way Table
Dependent or Independent? And why?
A cooler contains twelve bottles of sports drink: six lemon-lime flavored and six orange flavored. You randomly grab a bottle and give it to your friend. Then, you randomly grab a bottle for yourself. What is the probability that your friend gets a lemon-lime and you get an orange?
Dependent
Because: You first give one to your friend, so there is one less bottles of sport drinks for me to chose from.
Fill in the blanks.
(#1)
(Look at PowerPoint)
Match the formulas.
Mutually exclusive/Disjoint:_____
Non-mutually exclusive/overlapping:_____
a. P(A and B)=P(A)*P(B)
b. P(A or B)=P(A)+P(B)
c. P(A or B)=P(A)+P(B)-P(A and B)
Mutually exclusive/disjoint:
b. P(A or B)=P(A)+P(B)
Non-mutually exclusive/overlapping:
c. P(A or B)=P(A)+P(B)-P(A and B)
You have 5 red, 9 green, 3 blue, and 3 yellow marbles in a bag.
Without looking, you take one marble out of the bag. What is the probability that you select a blue marble?
P(Blue Marble)=3/20 or about 15%
Find the Sample Space Using a Tree Diagram.
You flip a coin and roll a six-sided die.
#4
Events A and B are independent.
P(A)=3/10
P(B)=3/5
P(A and B)=?
P(A and B)=9/50
What is P(No|Under 21)
(#2)
About 97%
What is our Key Word when dealing with
Mutually exclusive and Non-Mutually exclusive Probability, and what does it tell us to do?
OR, we need to add!
143 people were surveyed. 71 own a dog, 33 own a cat and 39 have no pets.
What is the probability that a randomly selected person, who was surveyed, owns a dog.
71/143 or about 50%
Find the Sample Space using a list.
You spin a spinner numbered 1-4 and you flip a coin. How many possible outcomes are there in the sample space?
8 possible outcomes
1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T
A basket contain four apples and eight peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit.
What is the probability that the first piece of fruit is an apple and the second piece is a peach.
8/33 or about 0.242
Given the person prefers snapchat, what is the probability that they are a college student?
Remember: Simplify your answer!
(#5)
Answer: 4/7 or about 57%
You have a standard deck of 52 playing cards. What is the probability of selecting a King or a Jack?
2/13 or about 15%
In how many different way can you order the letters in the word BACON.
120
Use the Fundamental Counting Principle to find the number of possible outcomes in the sample space.
You roll a 6 sided die, and then flip two coins.
6x2x2=24
A bag contains eight red marbles and 2 blue marbles. You randomly pick a marble and then return it to the bag before picking another marble. What is the probability that the first marble is red and the second marble is blue?
4/25 or .16
(#3)
About .10
You have a standard deck of 52 playing cards. What is the probability of selecting an A or a Diamond?
4/13 or about 31%
You spin a spinner with the numbers 1-5 on it and roll a die. How many total outcomes are there?
5x6=30