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)

4.6 Independent Events and Unions of Events

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#statisticalinference

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โฑ๏ธย ย 1 min read

written by

kanya shah


Independence

A and B are independent events if knowing whether or not one event has occurred doesnโ€™t change the probability that the other event will happen. In other words, events A and B are independent if P(A | B)=P(A | BC)=P(A). Alternatively, events A and B are independent if P(B | A) = P(B | AC)=P(B). If the events are independent, then the multiplication rule becomes P(A and B) =P(A)*P(B).

The event โ€œA or Bโ€ is known as the union of A and B, denoted by AB. It consists of all outcomes in event A, B, or both.ย 

The general addition rule states that if A and B are any two events resulting from some chance process, then P(A or B)=P(A)+P(B)-P(A and B).

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