QUESTION 5 Match the notation on the left with its meaning on the right. n(A) P(A) = n(S) 1. The probability of A or B occurring for mutually exclusive events. P(AN B) = P(A) x P(B|A) 2. The Addition Rule for non-mutually %3D exclusive events. v P(AU B) = P(A) + P(B) 3. This statement is true for all mutually 0-B חA exclusive events. 4. The Probability of A and B occurring together for non-mutually exclusive events. v P(AU B) = P(A)+ P(B) – P(AN B) %3D | P(ANB) P(B) P(A|B) = %3D 5. The Conditional Probability for an event A knowing that another event B has already occurred. 6. The Theoretical Probability of the event A occurring.

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Chapter1: Combinatorial Analysis
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QUESTION 5
Match the notation on the left with its meaning on the right.
n(A)
PLA) = n(s)
1. The probability of A or B occurring for
mutually exclusive events.
%3D
- P(ANB)= P(A)x P(B|A)
2. The Addition Rule for non-mutually
%3D
exclusive events.
P(AU B) = P(A) + P(B)
%3D
3. This statement is true for all mutually
v P(ANB)=0
exclusive events.
4. The Probability of A and B
occurring together for non-mutually
exclusive events.
v P(AU B) = P(A) + P(B) - P(AN B)
%3D
PANB)
P(B)
P(A|B) =
%3D
5. The Conditional Probability for an event A
knowing that another event B has already
occurred.
6. The Theoretical Probability of the event A
occurring.
Transcribed Image Text:QUESTION 5 Match the notation on the left with its meaning on the right. n(A) PLA) = n(s) 1. The probability of A or B occurring for mutually exclusive events. %3D - P(ANB)= P(A)x P(B|A) 2. The Addition Rule for non-mutually %3D exclusive events. P(AU B) = P(A) + P(B) %3D 3. This statement is true for all mutually v P(ANB)=0 exclusive events. 4. The Probability of A and B occurring together for non-mutually exclusive events. v P(AU B) = P(A) + P(B) - P(AN B) %3D PANB) P(B) P(A|B) = %3D 5. The Conditional Probability for an event A knowing that another event B has already occurred. 6. The Theoretical Probability of the event A occurring.
QUESTION 6
Two events exist, such that: P(A)=0.10, P(A U B) = 0.85, and P(A n B)3D0.30.
Select ALL the properties of probability that are violated here.
U a.
P(AIl outcomes) = 1
%3D
O b. None of the above.
Oc.0s P(A)s 1
O d.0s P(B)s 1
Transcribed Image Text:QUESTION 6 Two events exist, such that: P(A)=0.10, P(A U B) = 0.85, and P(A n B)3D0.30. Select ALL the properties of probability that are violated here. U a. P(AIl outcomes) = 1 %3D O b. None of the above. Oc.0s P(A)s 1 O d.0s P(B)s 1
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