# Multiple Event Probability Calculator

This Calculator Allows You to get the accurate probability of a multiple event.
 Number of possible outcomes: Number of event occurs in A: Number of event occurs in B: Note: A & B are mutually exclusive events

#### Result

 P(A): P(A'): P(B): P(B' ): P(A ∩ B): P(A ∪ B): P(A | B):

### Formula:

Probability of event A that occurs P(A) = n(A) / n(S).
Probability of event A that does not occur P(A') = 1 - P(A).
Probability of event B that occurs P(B) = n(B) / n(S).
Probability of event B that does not occur P(B') = 1 - P(B).
Probability that both the events occur P(A ∩ B) = P(A) x P(B).
Probability that either of event occurs P(A ∪ B) = P(A) + P(B) - P(A ∩ B).
Conditional Probability P(A | B) = P(A ∩ B) / P(B).
Where,
n(A) - Number of Occurrence in Event A,
n(B) - Number of Occurrence in Event B,
n(S) - Total Number of Possible Outcomes.

Probability is the measurement of the likeliness that an event will occurs.The higher the probability of an event, the more certain we are that the event will occur.We can take an example of simple toss of a unbiased coin. Since there are two favourable outcomes which are equally probable, the probability of "heads" equals the probability of "tails", so the probability is 1/2 (or 50%) chance of either "heads" or "tails".