Mutually Exclusive and Independent Events Two events are mutually exclusive if they cannot occur at the same time. This means that if one event occurs, t...
Two events are mutually exclusive if they cannot occur at the same time. This means that if one event occurs, the other cannot. For example, rolling a 6 on a dice and flipping a coin landing on heads are mutually exclusive events.
Another way to think about it is that two events are mutually exclusive if their outcomes are completely different. For instance, the outcome of rolling a 6 on a dice and the outcome of flipping a coin landing on heads are completely different.
Independent events are events whose occurrence is not affected by the occurrence of other events. This means that the probability of both events occurring is the same, regardless of whether the other event has already occurred. For example, the outcome of rolling a 6 on a dice and flipping a coin landing on heads are independent events.
In conclusion, two events are mutually exclusive if they cannot occur at the same time, and they are independent if the occurrence of one event does not affect the probability of the other event