SOLUTION: Sally thinks that for two independent events, because the occurrence of one event will not have any impact on the probability of the other event, they are also mutually exclusive.
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Question 1140067: Sally thinks that for two independent events, because the occurrence of one event will not have any impact on the probability of the other event, they are also mutually exclusive. Do you agree with her? Explain your reasoning using an example. Answer by ikleyn(52805) (Show Source):
Consider tossing two fair coins.
Getting "H" at each tossing has the probability .
Getting "HH" tossing two coins has the probability = ,
so these events are independent, by the definition.
But these events are not mutually exclusive.