## Homework Help! Axioms of Probability

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!