What is a generalised formula for independent events?

P(A and B)= P(A)xP(B)

P(A and B) = P(A) * P(B)

Two events are independent if the probability of happening both of the event at the same time is just the product of the indivial probability of those two events. If you have mulitple events thatare independent then just multiply all of them out. Now there is a catch that some might be dependent and some might not. And things get more interesting when you get into the domain of stochastic processes.

Yes P(A Intersection B) = P(A) x P(B)

Events A and B are independent if P(A|B) = P(A). In other words, whether or not B happens has no effect on the probability of A happening. P(A∩B) = P(A) x P(B). That is, the probability of both A and B happening is the product of their individual probabilities

Hi Christiana!

The formula is P(A intersection B) = P(A)*P(B), where P(A) is the probability of A happening, P(B) is the probability of B happening and P(A intersection B) is the probability of both events happening at the same time.

Hope this helps.

If A and B are two independent events, then the probability of their intersection is equal to the product of the probabilities of each event, that is, P(A n B) = P(A) x P(B)

P(A and B) = P(A) * P(B)

P(A and B) means the probability of A and B both occurring is called a compound event. 

P(A) means the probability of A occurring. 

P(B) means the probability of B occurring.

Independent events are defined as events where their probabilities won't affect each other. Therefore one formula for independent events is P(A and B) = P(A)P(B)

the generalised formula for independent events for events A and B is

P(A) x P(B)= P(A intersection B)

Intersection symbol looks like n

There are 2 ways to test for independence

1) P( AnB) = P(A) x P(B)

2) P( A/B) = P(A)

An event A is said to be independent of another event B if the probability of occurrence of one of them is not affected by the occurrence of the other.

Mathematically, we can say the events A and B are independent if P(A and B) = P(A) x P(B)

P(A and B) = P(A) x P(B)

where A and B are independent events

Hi there, I am aware that in A Level Maths probabilities topic, P(A) * P(B) probabilities of two outcomes)=P(AnB) which is the intersection of both circles in the Venn diagram since it overlaps twice. Hence, it is important to ensure that both Venn diagrams overlap and are not mutually exclusive.

I truly hope that helps!

There are two formulae to be familiar with concerning independence; the one is a consequence of the other. 

1. Events A and B are independent if P(A|B) = P(A). In other words, whether or not B happens has no effect on the probability of A happening. 
2. P(A∩B) = P(A) x P(B). That is, the probability of both A and B happening is the product of their individual probabilities.