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PROBABILITY - Coggle Diagram
PROBABILITY
COMPOUNDED EVENTS
In general, a compound event consists of two or more simple events.
Tossing a dice is a simple even; but tossing two dices or coins is a compound event
MUTUALLY INCLUSIVE EVENTS
When two events can occur at the same time, they are inclusive
P(A or B)= P(A)+P(B)-P(A and B)
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EXAMPLE
A dice is rolled. Find the probability of getting an even number.
S=[1,2,3,4,5,6] E=[2,4,6] P=(E or P)= P(E)+P(P)-P(EnP)
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PROBABILITY
The probability of an event is the ratio of the number of ways an event can happen to the total number of outcomes in the sample space
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2) If an event E can’t occur, then P(E)=0
3) If an event E is certain to occur, then P(E)=1
4) The sum of the probability of success and the probability of failure for any event is always equal to 1 so P(E)+P(E’)=1
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The element of A is 1 whereas the elements of A’ are 2,3,4,5,6
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Adopting this into probability, the probability of getting the smallest number when a dice is tossed: 1/6, the probability of getting the other numbers when a dice is rolled: 5/6
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EXAMPLE
A bag contains 4 red, 3 blue and 2 white balls. one ball is drawn from the bag. What is the probability that the ball is red or blue?
4+3+2=9
P(R or B)=P(R)+P(B)
MUTUALLY EXCLUSIVE EVENTS
There are times when two events can't happen at the same time.
P(A or B)=P(A)+P(B)
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