Probabilities - The Likelihood Of Events
Strings (SiPjAjk) = S7P6A64 Base Sequence = 12735 String Sequence = 12735 - 6 - 64
Figure 118.3 is a Venn Diagram for events A and B. Given the following information:
Probability of A union B = P[A ∪ B] = 0.7
Probability of A union B' = P[A ∪ B'] = 0.9. B' is the complement of B.
Probability of A = P[A].
Probability of B = P[B].
S7P6A64 (Grouping - Multi-criteria).
Pj Problem of Interest is of type grouping (multi-criteria). Grouping is at the heart of statistics. The grouping may be permutational or combinational, single criterion or multi-criteria grouping.
Formulas of Interest
P[A ∪ B] = P[A] + P[B] - P[A ∩ B]
P[A ∪ B'] = P[A] + P[B'] - P[A ∩ B']
So, P[A] + P[B] - P[A ∩ B] = 0.7 ------------------(1)
So, P[A] + P[B'] - P[A ∩ B'] = 0.9 -----------------(2)
P[A ∩ B'] = P[A] - P[A ∩ B]
P[B'] = 1 - P[B]
So, equation (2) becomes:
P[A] + 1 - P[B] - P[A] + P[A ∩ B] = 0.9
So, 1 - P[B] + P[A ∩ B] = 0.9 ------------------------(3)
Adding equations (1) and (3) we have:
P[A] + P[B] - P[A ∩ B] + 1 - P[B] + P[A ∩ B] = 1.6
So, P[A] = 0.6
The point . is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.
Single Variable Functions
Ordinary Differential Equations (ODEs)
The Universe is composed of matter and radiant energy. Matter is any kind of mass-energy that moves with velocities less than the velocity of light. Radiant energy is any kind of mass-energy that moves with the velocity of light.
Composition And Structure Of Matter
How Matter Gets Composed
How Matter Gets Composed (2)
Molecular Structure Of Matter
Molecular Shapes: Bond Length, Bond Angle
Molecular Shapes: Valence Shell Electron Pair Repulsion
Molecular Shapes: Orbital Hybridization
Molecular Shapes: Sigma Bonds Pi Bonds
Molecular Shapes: Non ABn Molecules
Molecular Orbital Theory
More Pj Problem Strings