Table of Contents
What is the difference between P A or B and P A and B?
Mathematically, the only difference is that P(A given B) is divided by P(B). Conceptually, P(A and B) is the probability that both A and B occur (the joint probability, or the probability of the intersection of A and B). P(A given B) is the probability that A occurs if B also occurs (conditional probability).
How do you find PB?
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.
What is P A and B mean?
Joint probability: p(A and B). The probability of event A and event B occurring. It is the probability of the intersection of two or more events. The probability of the intersection of A and B may be written p(A ∩ B).
What is the meaning of PP(B|a)?
P(B|A) This only applies when the events are independent of each other meaning event A has no effect on the probability of event B happening. The other case involes these two events when they are independent.
What is the value of P(A) and P(B) in the equation?
P (A) = 0.20, P (B) = 0.70, A and B are independent. The 0.14 is because the probability of A and B is the probability of A times the probability of B or 0.20 * 0.70 = 0.14.
What is the probability of A and B times the probability?
The 0.14 is because the probability of A and B is the probability of A times the probability of B or 0.20 * 0.70 = 0.14.
Are A and B independent events?
There are two events shown, A and B. and . The two circles don’t overlap (or even touch) which represents that A and B are independent events. This is the same as saying that A is unconditional on B and vice versa. Thus, by definition, since both probabilities are more than zero, . And not very interesting.