Is P B A the same as P a B?

Is P B A the same as P a B?

P(A|B) is the probability of A, given that B has already occurred. This is not the same as P(A)P(B.

How do you know if A and B are independent?

Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true. You can use the equation to check if events are independent; multiply the probabilities of the two events together to see if they equal the probability of them both happening together.

How do you get PR ANB?

Formula for the probability of A and B (independent events): p(A and B) = p(A) * p(B). If the probability of one event doesn’t affect the other, you have an independent event. All you do is multiply the probability of one by the probability of another.

Can P(A) and P(B) be positive?

Update the question so it’s on-topic for Mathematics Stack Exchange. Closed 8 years ago. Now, since P ( A) and P ( B) are positive. It should be noted this works with all other comparison operators as well.

Can P(A) be a power set rather than a probability?

Taking P (A) to denote the power set of A rather than a probability, the claim is clearly false. For a counterexample, let A and B be disjoint nonempty sets. Let a and b be arbitrary members of A and B respectively.

What is the probability interpretation of P(a)?

Other answers have discussed the probability interpretation. Taking P (A) to denote the power set of A rather than a probability, the claim is clearly false. For a counterexample, let A and B be disjoint nonempty sets. Let a and b be arbitrary members of A and B respectively.

Is the equation of probability provable or unprovable?

The equation is usually considered an axiom of probability and thus is neither provable nor unprovable-it is simply a condition that a “probability function” must have by definition. All the same in a finite discrete probability space where the each basic event has probability 1/n and the probability of an event A is defi