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MATH_0361_PROB4and5_MAT_COMPOUND EVENTS_01

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Karen Massie

on 15 April 2015

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Transcript of MATH_0361_PROB4and5_MAT_COMPOUND EVENTS_01

Probability Foldable
Probability: Compound Events
Independent Events
Since the first sock was replaced, choosing a red sock on the first try (event) has
NO EFFECT
on the probability of choosing a black sock on the second try (event).
Therefore, these two events are INDEPENDENT.
Create a Tree Diagram
Diane has a spinner with 3 equal sections and a quarter. Create a tree diagram of possible outcomes for spinning the spinner and flipping the coin.
Tree Diagram
Let's Recap!
Simple probability is the probability of _________ specific event occurring.

Theoretical
probability is calculated using ____________________, while
experimental
probability is determined by _______________________________.

Quantitative
probability is ________________ and is written as a ___________.
Qualitative
probability is___________________ but not ______________________.
Sample Space Recap
Probability is the ____________ of how
___________ an event is to occur.

A ________ _________ represents all
possible ____________ for an event or set of events.

Sample Spaces
List Tree Diagram Table
Create a Table
Diane has a spinner with 3 equal sections and a die. Create a table of possible outcomes for spinning the spinner and rolling the die.
Table
How many possible outcomes are there?
Create a Tree Diagram
Kathy is buying pizza for dinner. She has the choice of thin or pan crust. She needs to make a choice between pepperoni, sausage, or ham for toppings. Draw a tree diagram to show all possible combinations of crust and toppings.
Tree
How many outcomes are possible?
Compound Events Example 1
In a shipment of 20 computers, 2 are defective. Two computers are randomly selected from the 20 and tested. What is the probability that both are defective if the first computer isn't replaced after being tested?
Compound Events Example 1
Create a Table
Suzanne has a number cube and a quarter. Create a table of all possible combinations of outcomes for rolling a number cube and flipping a coin.
Table
Create a List
Sara has a red and blue pair of jeans. She also has a green shirt, white shirt and yellow shirt in her closet. She can wear either the orange or pink hat with any of these outfits. Create a list of possible combinations of of jeans, shirt, and hat to wear.
List
How many outcomes are possible?
Now it's your Turn
With a partner or individually, complete the sample space practice.
How many outcomes are possible?
Compound Event
A
compound
event is when there are _______ _______ _____ _______ simple events occurring.
Compound events can be __________________ or ___________________ .
What is the probability of spinning red and rolling a 5?
What is the probability of spinning red and rolling a 5?
What is the probability of rolling a 5 then rolling an even number?
What is the probability of rolling a 5 then rolling an even number?
The picture above represents a dresser drawer of socks. What is the probability that you will randomly choose a red sock, replace it, and then randomly choose a black sock?
Independent Events
Two events, A and B, are ______________
if the outcome of the first event (A) does ______ ________________ the outcome of the second event (B).
P(A and B) = P(A) x P(B)
The picture above represents a dresser drawer of socks. What is the probability that you will randomly choose a red sock, not replace it, and then choose a white sock?

How is this example different than the last example?
Dependent Event
Since the first sock was
NOT
replaced, choosing a red sock on the first try has an
EFFECT
on the probability of choosing a white sock on the second try. Therefore, these events are
DEPENDENT
.
Dependent Events
Two events are ______________ if the outcome
of the first event (A)
does
_____________ the outcome of the second event (B).

If the first event had not occurred, the outcome of second event would be ____________.
P(A and B) = P(A) x P(B)
Your Turn
With a partner or individually, complete the Probability Loop.
Compound Events Example 2
Victor flips 3 fair coins. What is the probability that he will get heads on the first 2 flips and tails on the last flip?
Compound Events Example 2
{BGO, BGP, BWO, BWP, BYO, BYP, RGO, RGP, RWO, RWP, RYO, RYP}
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