SaiBook.us Statistics

Lesson

Title: Conditional probability

Grade: 9-a Lesson: S3-L6

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

Lesson:

Definition: Conditional probability:

Conditional probability is dependent event are those in which the occurance of one event affects the probability of other event.
The probability of the event B given that A has occured is called conditional probability of B.It is denoted by P(B/A).
Similarly,the conditional probability of the event A given that B has occured is denoted by P(A/B).

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 conditional probability of B is given A is defined and given by:

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

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

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