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Thread: Probability

  1. #1
    Trying to make mom and pop proud
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    Probability

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    Hello everyone,

    I'm a new one in this forum. This forum looks pretty informative to me. Trying to ask your favor...Is anybody who can solve the following? I'm trying to solve the following.

    There are "n" bulbs wired in line so that if any one bulb is dead, all "n" bulb will not light up accordingly. Assuming a probability "p" that one bulb is blown or dead, what is a probability that all "n" bulbs will not light up? The probability "p" is equivalent to all "n" bulbs.

    Thanks!!

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    An Urch Guru Pundit Swami Sage chix475ntu's Avatar
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    totoal probability that all bulbs are not blown away is
    (1-p) ^ n ...
    so probability that atleast one blown away = total probability that all bulbs are blown away = 1 - (1-p)^n

  3. #3
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    Agree with Chix

    prob that one bulb is not blown is (1-p)...n buls are not blown will be (1-p)*(1-p)*....ntimes =(1-p)^n

    the bulbs will not lightup if atleast one of the bulbs is blown up..so atleast one blown up= 1-prob of none blown up

    = 1-(1-p)^n

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    Thanks a lot guys!

    Both of your solutions make sense to me. I really appreciate it! I was not 100% sure but now I'm 100% confident!

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