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Summary Rules and formula of probability

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2022/2023 Written for academic year
Institution University Of South Africa (Unisa)
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Rules of: Complimentary Addition Multiplication Counting Rules Formula included with theory

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Probability

Definition: chance or likelihood of an event occurring


Outcomes
r of event A
P ( A )=
n
Event A All possible outcomes



Properties of Probability:

 Must lie between 1 and 0

0 ≤ P ( A )≤ 1
 Event A CAN NOT occur (Impossible):

P ( A )=0
 Event A CAN occur (Definitely):

P ( A )=1
 Sum of all outcomes must equal 1

Terms:

Mutually Exclusive:

Events cant occur simultaneously on a single trial of random experiment = 0

Statistically Independent:

Event A has no effect on probability of event B outcome

Collectively Exhaustive:

Cover all possible outcomes on single trial of random experiment = 1

Joint Probability: AND

P ( A ∩B )




Rules:

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