Presentation is loading. Please wait.

Presentation is loading. Please wait.

Commute to Work Two-Way Frequency Table Female Male Total

Published byFelix Frank Modified over 5 years ago

Similar presentations

Presentation on theme: "Commute to Work Two-Way Frequency Table Female Male Total"β€” Presentation transcript:

1 Commute to Work Two-Way Frequency Table Female Male Total
Female Male Total Drive to work 20 40 Walk to Work 50 .6 .5 .4 .7 P(Drive)= P(Male)= P(Drive and Male)= P(Drive or Male)=

2 Two-Way Frequency Table P(female or Alabama)
Female Male Total Alabama 15 5 20 Georgia 55 25 80 70 30 100 P(F) P(A) P(F and A) P(F or A) 70% 20% 15% 75%

3 3-3 Conditional Probability

4 𝑃(𝐴|𝐡) Conditional Probability
Means: Probability that event A occurs knowing B has already happened Read as β€œProbability of A given B”

5 𝑃(𝑅𝑒𝑑|πΏπ‘Žπ‘Ÿπ‘”π‘’) Conditional Probability if you know its large?
50 marbles are in a bag. What is the probability of choosing a red marble if you know its large? Red given large 𝑃(𝑅𝑒𝑑|πΏπ‘Žπ‘Ÿπ‘”π‘’) Red Blue Total Large 12 13 25 Small 8 17 20 30 50

6 𝑃(π‘ π‘šπ‘Žπ‘™π‘™|𝑏𝑙𝑒𝑒) Conditional Probability 50 marbles are in a bag.
What is the probability of choosing a small marble given it’s blue? Red Blue Total Large 12 13 25 Small 8 17 20 30 50 𝑃(π‘ π‘šπ‘Žπ‘™π‘™|𝑏𝑙𝑒𝑒)

7 Conditional Probability
Data on passenger survival on the Titanic. Did being in 1st class increase chances of survival? Strategy: Compare all survivors to survivors in 1st class only. Same % ? Then Independent β€œNo Effect on survival” Different % ? Then Dependent β€œyes, had an effect on survival” Survived Did Not Survive Total 1st Class 203 122 325 2nd Class 118 167 285 3rd Class 178 528 706 499 817 1316 The casualty figures listed above are from Lord Mersey's Report (British Parliamentary Papers,Β  Shipping Casualties (Loss of the Steamship "Titanic"), 1912 Crew 212 survived out of 908

8 Conditional Probability
Data on passenger survival on the Titanic. Did being in 1st class increase chances of survival? 𝑃(π‘ π‘’π‘Ÿπ‘£π‘–π‘£π‘’) Survived Did Not Survive Total 1st Class 203 122 325 2nd Class 118 167 285 3rd Class 178 528 706 499 817 1316 𝑃(π‘ π‘’π‘Ÿπ‘£π‘–π‘£π‘’|1𝑠𝑑 π‘π‘™π‘Žπ‘ π‘ ) Yes, Survival rates depended on which class the passenger was in. 62.5% 37.9% The casualty figures listed above are from Lord Mersey's Report (British Parliamentary Papers,Β  Shipping Casualties (Loss of the Steamship "Titanic"), 1912 Crew 212 survived out of 908.

Download ppt "Commute to Work Two-Way Frequency Table Female Male Total"

Similar presentations

Algebra 1 Notes: Probability Part 3: Compound Probability.

Algebra 1 Notes: Probability Part 3: Compound Probability.
Conditional Probability Life is full of random events! You need to get a feel for them to be a smart and successful person.

Conditional Probability Life is full of random events! You need to get a "feel" for them to be a smart and successful person.
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?
Compound Events Compound event - an event that is a combination of two or more stages P(A and B) - P(A) X P(B)

Compound Events Compound event - an event that is a combination of two or more stages P(A and B) - P(A) X P(B)
The Titanic steamed out of Southampton on April 10, 1912 At the time ocean liner was only form of trans- Atlantic travel Wide disparity between class.

The Titanic steamed out of Southampton on April 10, 1912 At the time ocean liner was only form of trans- Atlantic travel Wide disparity between class.
Probability (2) Conditional Probability. For these 6 balls, if 2 are chosen randomly …. What is the probability they are a green and a red? P(G) = 2/6.

Probability (2) Conditional Probability. For these 6 balls, if 2 are chosen randomly …. What is the probability they are a green and a red? P(G) = 2/6.
An outcome is a possible result An event is a specific outcome Random means all outcomes are equally likely to occur or happen. random = fair A favorable.

An outcome is a possible result An event is a specific outcome Random means all outcomes are equally likely to occur or happen. random = fair A favorable.
Simple Event Probability is the chance or likelihood that an event will happen. It is the ratio of the number of ways an event can occur to the number.

Simple Event Probability is the chance or likelihood that an event will happen. It is the ratio of the number of ways an event can occur to the number.
Section 2 Probability Rules – Compound Events Compound Event – an event that is expressed in terms of, or as a combination of, other events Events A.

Section 2 Probability Rules – Compound Events Compound Event – an event that is expressed in terms of, or as a combination of, other events Events A.
Conditional Probability The probability that event B will occur given that A will occur (or has occurred) is denoted P(B|A) (read the probability of B.

Conditional Probability The probability that event B will occur given that A will occur (or has occurred) is denoted P(B|A) (read the probability of B.
Probability Definition: Probability: the chance an event will happen. # of ways a certain event can occur # of possible events Probability =  Probability.

Probability Definition: Probability: the chance an event will happen. # of ways a certain event can occur # of possible events Probability =  Probability.
PROBABILITY. Probability of an Event….. Example….. What is the probability of rolling a β€œ3” on a six sided die? Answer…… There is one β€œ3” on a die and.

PROBABILITY. Probability of an Event….. Example….. What is the probability of rolling a β€œ3” on a six sided die? Answer…… There is one β€œ3” on a die and.
1 Chapter 4, Part 1 Repeated Observations Independent Events The Multiplication Rule Conditional Probability.

1 Chapter 4, Part 1 Repeated Observations Independent Events The Multiplication Rule Conditional Probability.
7.4 Probability of Independent Events 4/17/2013. 2. What is the number of unique 4-digit ATM PIN codes if the first number cannot be 0? The numbers to.

7.4 Probability of Independent Events 4/17/ What is the number of unique 4-digit ATM PIN codes if the first number cannot be 0? The numbers to.
Lesson 3-6. Independent Event – 1st outcome results of probability DOES NOT affect 2nd outcome results Dependent Event – 1st outcome results of probability.

Lesson 3-6. Independent Event – 1st outcome results of probability DOES NOT affect 2nd outcome results Dependent Event – 1st outcome results of probability.
Advanced Math Topics 5.3 Conditional Probability.

Advanced Math Topics 5.3 Conditional Probability.
Section 3.2 Notes Conditional Probability. Conditional probability is the probability of an event occurring, given that another event has already occurred.

Section 3.2 Notes Conditional Probability. Conditional probability is the probability of an event occurring, given that another event has already occurred.
Miss Zeuggin February 6th 2009

Miss Zeuggin February 6th 2009
EXAMPLE 3 Find the probability of A and B You take a city bus from your neighborhood to a location within walking distance of your school. The express.

EXAMPLE 3 Find the probability of A and B You take a city bus from your neighborhood to a location within walking distance of your school. The express.
Math I.  Probability is the chance that something will happen.  Probability is most often expressed as a fraction, a decimal, a percent, or can also.

Math I.  Probability is the chance that something will happen.  Probability is most often expressed as a fraction, a decimal, a percent, or can also.

Similar presentations

Ads by Google