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Kanya Shah

Being able to calculate and interpret probabilities is important. Be sure to understand how to interpret venn diagrams, two way tables, and tree diagrams.
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. *

An example of a Tree Diagram

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An example of a Two-Way Table

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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.

An example of a Venn Diagram

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**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).

🎥**Watch: AP Stats - ****Probabilities: Two way tables, Conditional, Independence, Tree Diagrams, etc**

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Unit 1: Exploring One-Variable Data

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Unit 2: Exploring Two-Variable Data

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Unit 3: Collecting Data

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Unit 4: Probability, Random Variables, and Probability Distributions

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Unit 5: Sampling Distributions

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Unit 6: Inference for Categorical Data: Proportions

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Unit 7: Inference for Qualitative Data: Means

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Unit 8: Inference for Categorical Data: Chi-Square

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Unit 9: Inference for Quantitative Data: Slopes