Answer:
<h3>For two events A and B show that P (A∩B) ≥ P (A)+P (B)−1.</h3>
By De morgan's law

which is Bonferroni’s inequality
<h3>Result 1: P (Ac) = 1 − P(A)</h3>
Proof
If S is universal set then

<h3>Result 2 : For any two events A and B, P (A∪B) = P (A)+P (B)−P (A∩B) and P(A) ≥ P(B)</h3>
Proof:
If S is a universal set then:

Which show A∪B can be expressed as union of two disjoint sets.
If A and (B∩Ac) are two disjoint sets then
B can be expressed as:

If B is intersection of two disjoint sets then

Then (1) becomes

<h3>Result 3: For any two events A and B, P(A) = P(A ∩ B) + P (A ∩ Bc)</h3>
Proof:
If A and B are two disjoint sets then

<h3>Result 4: If B ⊂ A, then A∩B = B. Therefore P (A)−P (B) = P (A ∩ Bc) </h3>
Proof:
If B is subset of A then all elements of B lie in A so A ∩ B =B
where A and A ∩ Bc are disjoint.

From axiom P(E)≥0

Therefore,
P(A)≥P(B)
Answer:
x=84
Step-by-step explanation:
the sum of the angles in a pentagon is always 540 so do
540-131-108-107-110=84
No solution because when you plug in the variables for x y and z none of them equal that correct number.
The inequality is x + 5274 ≥ 10,000.
The total number of steps I have to take to reach my goal is 4726.
<h3>How many more steps do I have to take?</h3>
Here are inequality signs and what they mean:
- > means greater than
- < means less than
- ≥ means greater than or equal to
- ≤ less than or equal to
Number of steps I have to take + number of steps I have taken ≥Total steps
X + 5274 + x ≥ 10,000
x ≥ 10,000 - 5274
x ≥ 4726
To learn more about inequality, please check: brainly.com/question/5031619
#SPJ1
Answer:
6 7/8
Step-by-step explanation:
Result in decimals: 6.875
In pic
(Hope this helps can I pls have brainlist (crown) ☺️)