Question: (Johnsonbough8) A coin with probability p for heads is tossed n times. Let E be the event a head is obtained on the first toss

(Johnsonbough8) A coin with probability p for heads is tossed n times. Let E be the event “a head is obtained on the first toss and Fk the event ‘exactly k heads are obtained.” For which pairs (n, k) are E and Fk independent?

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