What's the different between bayes's theorem and conditional theorem ?

Expert Solution

Conditional Theorem:

Conditional Probability is the probability of a certain event (A) based on the occurrence of some other event (B). Mathematically it is represented as following:

P(A|B) = P(A∩B)/P(B)

here, the LHS is the conditional probability we aim to calculate(P(A|B)) by dividing the probability of both events in question occurring together (P(A∩B)) with the probability of the event assumed to have already occurred (P(B)).

Bayes Theorem:

Bayes theorem is an extension of conditional probability. While using Bayes theorem you use one conditional probability to calculate another one. Bayes theorem is represented with the following expression:

P(A|B) = P(B|A) * P(A)/P(B)

here, we calculate the probability of event A given that event B has occurred. The RHS consists of the probability of event B given event A has occurred multiplied by the ratio of probability of event A to Probability of event B.

milcah answered 4 weeks ago

what's the different between the civil engineering and the architecture engineering

what's the difference between management and administration

what is the difference between mutually exclusive, independent and conditional probabilities?

The prosecutor's fallacy is misunderstanding or confusion of two different conditional probabilities: (1) the probability that...

The prosecutor's fallacy is misunderstanding or confusion of two different conditional probabilities: (1) the probability that a defendant is innocent, given that forensic evidence shows a match; (2) the probability that forensics shows a match, given that a person is innocent. The prosecutor's fallacy has led to wrong convictions and imprisonment of some innocent people. Lucia de Berk is a nurse who was convicted of murder and sentenced to prison in the Netherlands. Hospital administrators observed suspicious deaths that occurred...

What's the relationship between environmental science and environmental sustainability?

What's the difference between Fourier Holograms and Fresnel Holograms?

What's the difference between direct and indirect marketing channels?

What is the relation between “Green’s Theorem” and “Stokes’s Theorem”? Explain about the transformations defined in...

What is the relation between “Green’s Theorem” and “Stokes’s Theorem”? Explain about the transformations defined in these theorems. What is the most important application and consequence of “Stokes’s Theorem”? Explain Independence of path?

Can someone please explain to me the relationship between Stoke's theorem, Green's theorem, and the Gradient...

Can someone please explain to me the relationship between Stoke's theorem, Green's theorem, and the Gradient theorem. and give one example each for 0,1 and 2 forms. As a Calc 3 student, I am very confused about what this theorem is, I know it is essential to what linear algebra. Please help.

What's the relationship between gamma radiation and the making of free radicals

Question