To find the chance of three occurrences, roll a die, toss a coin, or do anything randomly, use our probability of three events calculator.

- At least one of three occurrences (union) is likely to occur
- Probability of three events colliding (all occurring)
- There's a chance that only one of them will happen and a chance that none of them will happen.

When determining the chance of more than two occurrences intersecting, the conditional probabilities of all preceding events must be taken into account.

When two occurrences occur simultaneously, the chance of one event occurring does not impact the probability of the other event occurring. It is referred to as an independent event. You can assess its likelihood by inputting the information into our probability independent events calculator. Independent events are two separate random events in which the present event has no bearing on the prior one. It can be calculated by dividing the total number of outcomes by the number of ways it might happen.

Non-mutually exclusive indicates that there is some overlap between the two occurrences in question, which the formula accounts for by subtracting the overlap probability, P(Y and Z), from the sum of the probabilities of Y and Z. Our calculator calculates the likelihood of an event A or B not occurring, the likelihood of A and/or B occurring when they are not mutually exclusive, the likelihood of both events A and B occurring, and the likelihood of either event A or B occurring but not both.