Mutually exclusive events are events that cannot occur at the same time. This means that if one event happens, the other event cannot happen. In statistical terms, this means that the probability of both events occurring is equal to zero.
No, two mutually exclusive events cannot both have a probability greater than zero. As mentioned before, the probability of both events occurring is equal to zero. Therefore, if one event has a probability greater than zero, the other event must have a probability of zero.
The probability of two mutually exclusive events can be calculated by adding the individual probabilities of each event. This is because, since the events are mutually exclusive, the probability of both events occurring at the same time is equal to zero.
Mutually exclusive events are events that cannot occur at the same time, while independent events are events that have no effect on each other. In other words, the outcome of one event does not affect the outcome of the other event. Mutually exclusive events have a probability of zero, while independent events have a non-zero probability.
To determine if two events are mutually exclusive, you can use a Venn diagram. If the two events have no intersection (i.e. they do not share any outcomes), then they are mutually exclusive. Another way is to see if the probability of both events occurring at the same time is equal to zero.