# Question: exercise 3 for those who want a little challenge...

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Exercise 3. [ For those who want a little challenge.] If E and F are independent events, show that E and Fc are independent events. (Intuitively this makes sense: if knowing F happens doesn’t give any extra insight into whether E happens, then surely knowing F doesn’t happen doesn’t provide any useful information about the occurrence of E either!) Consider the handedness of human beings to be either either left or right. Why does it make sense to simply ask: Are sex and handedness independent?, as opposed to asking about the independence of all four combinations?