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Math Help - Please help me finish this probability problem

  1. #1
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    Please help me finish this probability problem

    Hey guys.

    Can you help me finish off this probability question?

    A coin is tossed 6 times. What is the probability that tails appears on every toss, given that tails appears on the first two tosses?

    This is what I have so far:
    n = intersection symbol

    The outcomes of each individual toss are dependent upon the toss prior so the odds of a heads or tail on any given toss is 1/2. We are going to use the formula Pr(EIF) = Pr(E n F)/Pr(F.

    F = "tails appears on the first two tosses"
    E = "tails appears on every toss"

    Find the probabilities:

    Pr(F) = 1/4 - odds of tails on first two tosses
    Pr(E) = 1/64 - odds for tails on all six tosses

    Now I need to use the rule of Conditional Probability to solve. This is where I'm stuck. How to finish off this problem?
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  2. #2
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    Re: Please help me finish this probability problem

    N = 6

    For N = 1 & 2, we already know that the result is tails. So the result now depends only on the last four tosses.

    So, probability of getting 6 tails is = (1).(1).(1/2).(1/2).(1/2).(1/2) = 1/16
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  3. #3
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    Re: Please help me finish this probability problem

    I tried 1/16 and it was incorrect
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