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Lesson

Title: Multiplication theorem for dependent Events

Grade: 9-a Lesson: S3-L8

Explanation: Hello students, let us learn a new topic in statistics today with definitions, concepts, examples, and worksheets included.

Lesson:

Definition: Multiplication theorem for dependent Events:

The multiplication rule of probability explains the condition between two events.
For two dependent events A and B associated with a sample space S,Probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs

Dependent events:

Event are said to be dependent if the happening of one event affect the probability of the another event.

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Explanation:

If A and B are two dependent events,then the multiplication probability of A and B is defined and given by:

P(A ∩ B) = \$P(B/A)P(A)\$ where P(A) ≠ 0

P(B/A) = Conditional probability of B given A

If A and B are two dependent events,then the multiplication probability of A and B is defined and given by:

P(A ∩ B) = \$P(A/B)P(B)\$ where P(B) ≠ 0

P(A/B) = Conditional probability of A given B