ap stats study guides

โœŒ๏ธย  Unit 2 - Exploring Two-Variable Data

โš–๏ธย  Unit 6 - Inference for Categorical Data: Proportions

๐Ÿ˜ผย  Unit 7 - Inference for Qualitative Data: Means

โœณ๏ธย  Unit 8 Inference for Categorical Data: Chi-Square

๐Ÿ“ˆย  Unit 9 - Inference for Quantitative Data: Slopes

๐Ÿงย  Multiple Choice Questions (MCQs)

4.5 Conditional Probability

#anticipatingpatterns

#statisticalinference

โฑ๏ธย ย 2 min read

written by

kanya shah


Representations of Probability

Being able to calculate and interpret probabilities is important. Be sure to understand how to interpret venn diagrams, two way tables, and tree diagrams.ย  A two way table or venn diagram can be used to display the sample space and to help find probabilities for a chance process involving two events. A tree diagram shows the sample space of a chance process involving multiple stages. The probability of each outcome is shown on the corresponding branch of the tree. All probabilities after the first stage are conditional probabilities.

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2Ftree%20diagram.png?alt=media&token=ee32fe54-7711-438f-bdd7-4abd508a1f7e

An example of a Tree Diagram

Image Courtesy of Pinterest

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2Ftwo-way%20table.png?alt=media&token=4e89682f-4f0b-4e02-bf6e-d092ee39360c

An example of a Two-Way Table

Courtesy of MathBits

A venn diagram consists of one or more circles surrounded by a rectangle. Each circle inside the rectangle represents the sample space of the chance process.ย 

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FVEnn%20diagram.png?alt=media&token=212b2ef8-9019-406d-baed-6a115a0737c8

An example of a Venn Diagram

Courtesy of Pinterest

Conditional probability is the probability that one event happens given that another event is known to have happened. The conditional probability that event B happens given event A has happened is denoted by P(B A).The formula for conditional probability is P(A | B) = P(A and B) P(B)= P(AB)P(B)=P(both events occur)P(given event occurs).

General Multiplication Rule states that the probability that events A and B both occur can be found using this formula for any chance process: P(A | B) = P(AB)=P(A) * P(B | A).ย 

๐ŸŽฅWatch: AP Stats - Probabilities: Two way tables, Conditional, Independence, Tree Diagrams, etc

continue learning

Slide 1 of 13
Fiveable

Join Our Community

Fiveable Community students are already meeting new friends, starting study groups, and sharing tons of opportunities for other high schoolers. Soon the Fiveable Community will be on a totally new platform where you can share, save, and organize your learning links and lead study groups among other students!๐ŸŽ‰

Fiveable Logo

2550 north lake drive
suite 2
milwaukee, wi 53211

92% of Fiveable students earned a 3 or higher on their 2020 AP Exams.

*apยฎ and advanced placementยฎ are registered trademarks of the college board, which was not involved in the production of, and does not endorse, this product.

ยฉ fiveable 2020 | all rights reserved.