Explain the difference between mutually exclusive and independent events.
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Mutually exclusive events are events that cannot occur at the same time. In other words, if one event happens, the other event cannot happen. For example, rolling a die and getting a 1 and rolling a die and getting a 2 are mutually exclusive events because it is impossible to get both a 1 and a 2 on the same roll.
Independent events, on the other hand, are events that do not depend on each other. The outcome of one event does not affect the outcome of the other event. For example, flipping a coin and rolling a die are independent events because the result of flipping the coin does not impact the result of rolling the die.
In summary, mutually exclusive events cannot happen at the same time, while independent events do not rely on each other and their outcomes are not affected by one another.
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