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Suppose P (E) = 3/7 and P (F ) = 2/7 . Each of the following...

Suppose P (E) = 3/7 and P (F ) = 2/7 . Each of the following answers should be given as 77 a single fraction.

(a) [6 pts] If E and F are independent events, find P (E ∩ F ).

(b) [6 pts] If E and F are mutually exclusive events, find P (E ∪ F ). (Do not assume independence for this part.)

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