Presentation is loading. Please wait.

Presentation is loading. Please wait.

Conditional Probability Objective: I can find the probability of a conditional event.

Published byTrevor Perry Modified over 9 years ago

Similar presentations

Presentation on theme: "Conditional Probability Objective: I can find the probability of a conditional event."— Presentation transcript:

1 Conditional Probability Objective: I can find the probability of a conditional event.

2 Conditional Probability Probability of event A, given event B occurs. Notation: P(A|B) Two machines produce optical lenses. Machine 1: 6 defects out of 200 lenses made. Machine 2: 5 defects out of 250 lenses made. Probability of getting a defective lens. P(defective lens) = P(defective lens | Machine 1) Probability of getting a defective lens if it is made from Machine 1. What does the above notation mean?

3 Complement of an event: All other possible outcomes. What is the complement? 1.“Heads” when tossing a coin. 2.“Winning” a game 3.“The door is open” 4.“Red” for a traffic light 5.“Rolling an even #” “tails” “losing” “The door is closed” “Green or yellow” light “rolling an odd #” Events A and B are complements then P(A) + P(B) =1

4 Assignment: section 14.2 Pg 502-503: 1-7 Pg 238 12-26 even and 27,28

Download ppt "Conditional Probability Objective: I can find the probability of a conditional event."

Similar presentations

Designing Investigations to Predict Probabilities Of Events.

Designing Investigations to Predict Probabilities Of Events.
Theoretical Probability

Theoretical Probability
Section 5.1 and 5.2 Probability

Section 5.1 and 5.2 Probability
Math notebook, pencil, and possibly calculator. Definitions  An outcome is the result of a single trial of an experiment.  The sample space of an experiment.

Math notebook, pencil, and possibly calculator. Definitions  An outcome is the result of a single trial of an experiment.  The sample space of an experiment.
EXAMPLE 1 Using Theoretical Probability Predict the number of times a coin will land heads up in 50 coin tosses. There are two equally likely outcomes.

EXAMPLE 1 Using Theoretical Probability Predict the number of times a coin will land heads up in 50 coin tosses. There are two equally likely outcomes.
Probability Sample Space Diagrams.

Probability Sample Space Diagrams.
Probability Number Line 0 1 Events that are impossible have a probability of 0. Rolling a 7 with a 6-sided dice. Rolling a 7 with a 6-sided dice has a.

Probability Number Line 0 1 Events that are impossible have a probability of 0. Rolling a 7 with a 6-sided dice. Rolling a 7 with a 6-sided dice has a.
7/20 The following table shows the number of people that like a particular fast food restaurant. 1)What is the probability that a person likes Wendy’s?

7/20 The following table shows the number of people that like a particular fast food restaurant. 1)What is the probability that a person likes Wendy’s?
Essential Question: If you flip a coin 50 times and get a tail every time, what do you think you will get on the 51st time? Why?

Essential Question: If you flip a coin 50 times and get a tail every time, what do you think you will get on the 51st time? Why?
Independent Events. These situations are dealing with Compound events involving two or more separate events. These situations are dealing with Compound.

Independent Events. These situations are dealing with Compound events involving two or more separate events. These situations are dealing with Compound.
CONDITIONAL PROBABILITY and INDEPENDENCE In many experiments we have partial information about the outcome, when we use this info the sample space becomes.

CONDITIONAL PROBABILITY and INDEPENDENCE In many experiments we have partial information about the outcome, when we use this info the sample space becomes.
Math 310 Section 7.2 Probability. Succession of Events So far, our discussion of events have been in terms of a single stage scenario. We might be looking.

Math 310 Section 7.2 Probability. Succession of Events So far, our discussion of events have been in terms of a single stage scenario. We might be looking.
GOAL: FIND PROBABILITY OF A COMPOUND EVENT. ELIGIBLE CONTENT: A1.2.3.3.1 12-7 PROBABILITY OF COMPOUND EVENTS.

GOAL: FIND PROBABILITY OF A COMPOUND EVENT. ELIGIBLE CONTENT: A PROBABILITY OF COMPOUND EVENTS.
Section 5.2 The Addition Rule and Complements

Section 5.2 The Addition Rule and Complements
Notes Over 12.5 Probability of Independent Events 1. You are playing a game with 2 numbered cubes. Find the probability of rolling a sum of 8 on the first.

Notes Over 12.5 Probability of Independent Events 1. You are playing a game with 2 numbered cubes. Find the probability of rolling a sum of 8 on the first.
Theoretical Probability

Theoretical Probability
Warm up: Solve each system (any method). W-up 11/4 1) Cars are being produced by two factories, factory 1 produces twice as many cars (better management)

Warm up: Solve each system (any method). W-up 11/4 1) Cars are being produced by two factories, factory 1 produces twice as many cars (better management)
Each time an experiment such as one toss of a coin, one roll of a dice, one spin on a spinner etc. is performed, the result is called an ___________.

Each time an experiment such as one toss of a coin, one roll of a dice, one spin on a spinner etc. is performed, the result is called an ___________.
Dependent and Independent Events. Events are said to be independent if the occurrence of one event has no effect on the occurrence of another. For example,

Dependent and Independent Events. Events are said to be independent if the occurrence of one event has no effect on the occurrence of another. For example,
1.4 Equally Likely Outcomes. The outcomes of a sample space are called equally likely if all of them have the same chance of occurrence. It is very difficult.

1.4 Equally Likely Outcomes. The outcomes of a sample space are called equally likely if all of them have the same chance of occurrence. It is very difficult.

Similar presentations

Ads by Google