​The following represents an equation for Bayesian statistics:​

​Which one of the following options correctly represents A, B, C and D in the above equation?​

Correct option is C

Explanation-

Bayes’ Theorem is a mathematical formula used to calculate the probability of a hypothesis (H) given some observed evidence (E). It’s written as:

$$P(H \mid E) = \frac{P(H) \cdot P(E \mid H)}{P(E)}$$

This tells us how to update our belief in a hypothesis after seeing evidence.

A:  (∣)
This is the Posterior Probability.
Meaning: After seeing evidence E, what's the probability that the hypothesis H is true?
It's the updated belief.

B: ()
This is the Prior Probability.
Meaning: Before seeing any evidence, what did we believe about the likelihood of H being true?
It reflects initial belief or background knowledge.

 C: (∣)
This is the Likelihood.
Meaning: If hypothesis H is true, how likely are we to observe evidence E?
It tells how well H explains E.

D: ()
This is called Evidence or Marginal Likelihood.
Meaning: What's the overall probability of observing E, across all possible hypotheses?
It normalizes the result and ensures the posterior is a proper probability.

​Final Answer: Option  c

A – Posterior probability
B – Prior probability
C – Likelihood
D – Evidence