Problem 1. A coin with probability p of 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 of integers (n, k) are E and F independent?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1. A coin with probability p of heads is tossed n times. Let E be the event "a
head is obtained on the first toss" and F the event "exactly k heads are obtained". For
which pairs of integers (n, k) are E and F independent?
Transcribed Image Text:Problem 1. A coin with probability p of heads is tossed n times. Let E be the event "a head is obtained on the first toss" and F the event "exactly k heads are obtained". For which pairs of integers (n, k) are E and F independent?
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