Explain the difference between mutually exclusive and independent events. Solution Mutually exclusive events are those events, in which if one of event occurs, we can firmly say that other events didnt occur. for example two events, 1. I turn left 2. I turn right. Since both events can never happen together. these two events are mutually exclusive events. Getting a head and getting a tail in a single toss of a coin are mutally exclusive events. Independent events are those events, in which happening of one event is independent of other events. for example, in throwing of two dices, getting number 6 on first dice and getting 6 on other dice are independent events..