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Independent and Conditional Probabilities

Independent and Conditional Probabilities

Author: Sara Gorsuch

This packet reviews new terms and talks about the difference between mutually exclusive and independent events. It also demonstrates the multiplication rules for probability.

My Two Power Points go through the difference between mutually exclusive and independent events and demonstrate the multiplication rules for probability.

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Conditional Probability: The probability that an event will occur, given that one or more other events have already occurred. More precisely the probability that B will occur given that A has occured. 

 The symbol P(B/A) Represents Conditional Probability.

Independent Events: Two events are independent if the occurence of one event happening does not affect the probability of the other event from happening. 

 The events A and B are independent if..


P(AB) = P(A)P(B)
P(A|B) = P(A)
B has no effect on A
P(B|A) = P(B)
A has no effect on B

 two events are independent if the occurrence of one has no effect on the probability of the other.


Still confused about what independent events are?

Look at this website and see some more examples!


Still need help with the concept of Mutually Exclusive? 

Look at the website to see more examples!


Multiplication Rules of Probability

The Difference Between Mutually Exclusive and Independent Events..