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Math Help - Probability

  1. #1
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    Probability

    Six cards labelled A, B, C, D, E and F are drawn one at a time from a hat. What is the probability that card A or card E will be the third card drawn?

    How do I even start this?
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  2. #2
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    the first card drawn cannot be card a or e. second card cannot be card a or e also. then probability of the third card drawn is card a or e.
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  3. #3
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    Is there an easy way to find the answer without listing out all the possibilities?
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  4. #4
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    Six cards labelled A, B, C, D, E and F are drawn one at a time from a hat. What is the probability that card A or card E will be the third card drawn?

    How do I even start this?
    = (a or e is not chosen)(a or e is not chosen for the second time)(a or e is chosen)
    = (4/6)(3/5)(2/4)
    = 1/5
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  5. #5
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    You dont have any information about cards one and two, therefore the probability that the third card is A or E is the same as the probability that the first card is A or E = 1/3
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  6. #6
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    Quote Originally Posted by z1llch View Post
    Six cards labelled A, B, C, D, E and F are drawn one at a time from a hat. What is the probability that card A or card E will be the third card drawn?


    How do I even start this?
    = (a or e is not chosen)(a or e is not chosen for the second time)(a or e is chosen)
    = (4/6)(3/5)(2/4)
    = 1/5

    A or E can be drawn on the first or second time, but they cannot both be drawn before the first time. So you have the add the probability that A is drawn on the first time or second time and E on the third time and also that E is drawn before the third time and A on the third time.
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