Hi, so I've been stuck on three problems after multiple submissions and still cannot get it right! Can someone help and mind explaining?
The bolded ones are the ones I selected.
Problem 1. Which of the following are the axioms of probability?
A: P(AB) is less than or equal to P(A)
B: if AB={}, P(AuB)=P(A)+P(B)
C: P(AuB) is less than or equal to P(A)+P(B)
D: P(AuB)=P(A)+P(B)
E: If A is a subset of B, P(AB)=P(A)
F: P(S)=100%
G: if A is a subset of B, P(AuB)=P(B)
H: P(AuB)=P(A)+P(B)-P(AB)
I: for any event A, P(A) is greater than or equal to 0
J: P(not A)=100%-P(A)
K: If A is a subset of B, P(AB)=P(B)
L: IF A is a subset of B, P(AuB)=P(A)
M: P(AB)=P(A)P(B)
Problem 2: Which of the following are always true?
A: P(AB) is less than or equal to P(A)
B: For any event A, P(A) is greater than or equal to 0
C: If A is a subset of B, P(AB)=P(A)
D: P(not A)=100%-P(A)
E: if A is a subset of B, P(AuB)=P(A)
F: If AB={}, P(AuB)=P(A)+P(B)
G: If A is a subset of B, P(AB)=P(B)
H: P(AuB)=P(A)+P(B)-P(AB)
I: P(AB)=P(A)P(B)
J: P(S)=100%
K: If A is a subset of B, P(AB)=P(B)
L: P(AuB) is less than or equal to P(A)+P(B)
M: P(AuB)=P(A)+P(B)
Problem 10. Suppose there are two events, A and B, with P(A) = 74% and P(B) = 61%. Select all that must apply.
A: B cannot imply A
B: P(AB) is less than or equal to 74%
C: P(AB) is greater than or equal to 35%
D: A and B cannot be independent
E: A cannot imply B
F: P(AB) is less than or equal to 61%
G: P(AuB)=100%
H: A and B cannot be mutually exclusive
I: P(AuB) is greater than 79%
J: P(AuB) is greater than 74%
K: none of the above
Thanks so much for the help!
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