Mutually Exclusive Events: Two events are said to be mutually exclusive if they occur independently, meaning that the occurrence of one event does not affec...
Mutually Exclusive Events:
Two events are said to be mutually exclusive if they occur independently, meaning that the occurrence of one event does not affect the probability of the other event occurring. In simpler terms, if event A occurs and event B also occurs, the probability of event A occurring is the same as it would be if event B didn't occur.
Exhaustive Events:
An event is exhaustive if it covers all the possible outcomes in a sample space. This means that no other events can occur in addition to the event in question. In other words, exhaustive events are exhaustive subsets of the sample space.
Examples:
Rolling a 2 and rolling a 4 are mutually exclusive events, as rolling a 2 means a number on one side and rolling a 4 means a number on the other side.
Drawing an ace and drawing a king from a deck of playing cards is an exhaustive event, as there are only 4 aces and 4 kings in a deck.
Getting a heads or tails outcome in a coin toss is a simple example of two mutually exclusive events