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Probability- independent events

  • Thread starter C.E
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  • #1
C.E
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1. A fair coin is tossed n times, let E be the event that the first toss is a head and Fk be the event that there are a total of k heads. For which values of n, k are E and fk independent events?

3. I don't see how these events can possibly be independent (surely the first influences the second). Could somebody please explain how to do this question?
 

Answers and Replies

  • #2
Defennder
Homework Helper
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You can approach this question mathematically instead of by conceptual reasoning. E and F_k are independent if P(E|F_k)=P(E) and P(F_k|E)=P(F_k).

Now you just have to find expressions for the above. Use Bayes theorem and the definition of conditional probability. After solving the above, you should be able to find n in terms of k.
 

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