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In probability theory, two events are said to be mutually exclusive if they cannot occur at the same time or simultaneously. If two events are considered mutually exclusive, then the probability of both events occurring at the same time will be zero. Event A: Turn Left Event B: Turn Right Mutually Exclusive Non-mutually exclusive Event A: Coin lands on heads. Event B: Coin lands on tails. Non-mutually exclusive Mutually exclusive Event A: Roll a 6 on a number cube Event B: Roll an even number on a number cube Mutually Exclusive Non-mutually Exclusive Event A: Draw a king from a deck a cards Event B: Draw a 'heart' from a deck of cards Mutually Exclusive Non Mutually Exclusive Event A: Roll a 1 on a number cube Event B: Roll an even number on a number cube Non mutually exclusive Mutually exclusive Event A: A student is in the 9th grade. Event B: A student (same student) is in the 10th grade. Mutually exclusive Non mutually exclusive Event A: Draw a black card from a deck Event B: Draw a red card from a deck Mutually exclusive Non-mutually exclusive Event A: win first place Event B: win second place Non mutually exclusive Mutually exclusive Event A: take Geometry in Semester 1 Event B: take Spanish in Semester 1 Non mutually exclusive Mutually exclusive |