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Math Help - Independent Events

  1. #1
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    Independent Events

    We flip a coin
    n times (n 1). For which values of n are the following pairs of events independent?

    (a) The first coin flip was heads; the number of all heads was even.
    (b) The first coin flip was heads; the number of all heads was more than the number of tails.

    (c) The number of heads was even; the number of heads was more than the number of tails.

    What I was thinking of doing was listing each case of n (starting with 1) and testing it. But for all I know, this could be long tedious work, especially if it turns out the value of n is quite high. Is there an efficient way to doing this, or should I continue what I was doing by finding the probably of each event for different values of n.
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  2. #2
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    I suggest your looking at the case n=2.
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