The difference between mutually exclusive and independent events is: a mutually exclusive event can simply be defined as a situation when two events cannot occur at same time whereas independent event occurs when one event remains unaffected by the occurrence of the other event.
Is mutually exclusive events independent?
All Answers (7) If two events are mutually exclusive then they do not occur simultaneously, hence they are not independent.
What is the difference between mutually exclusive and inclusive events?
Thus, events A and B are mutually exclusive because they both cannot occur at the same time. The number that a dice lands on can’t be even and odd at the same time. Conversely, two events are mutually inclusive if they can occur at the same time.
How would you explain the difference between independent and mutually exclusive events for someone who does not have much statistics background?
Mutually exclusive events are two events that cannot occur at the same time. The occurrence of one event has a direct impact on the probability of the other. Independent events are the exact opposite — Independent events are those that do not affect the likelihood of each other.
What are mutually exclusive events and independent events explain with an example?
Mutually exclusive events cannot happen at the same time. For example: when tossing a coin, the result can either be heads or tails but cannot be both. Events are independent if the occurrence of one event does not influence (and is not influenced by) the occurrence of the other(s).
What are mutually independent events?
Given a set of more than two events, the set of events is mutually independent if each event is independent of each intersection of the other events. If even one independence is not satisfied, then the set of events is mutually dependent.
What is an example of an independent event?
Independent events are those events whose occurrence is not dependent on any other event. For example, if we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail. In both cases, the occurrence of both events is independent of each other.