What's the difference between independent and mutually exclusive events?
Independent events are events where the outcome of one event does not affect the outcome of another event. Mutually exclusive events are events that cannot occur at the same time.
In other words, if events A and B are independent, the occurrence of event A does not impact the probability of event B occurring. However, if events A and B are mutually exclusive, they cannot both happen at the same time.
For example, in a game of flipping a coin and rolling a die, the outcomes of these events are independent of each other - the result of a coin flip will not affect the result of rolling a die. On the other hand, rolling an odd number and rolling an even number on a die are mutually exclusive events, as the two outcomes cannot occur simultaneously.