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Math Help - chance of rain , probability

  1. #1
    Junior Member
    Joined
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    Posts
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    chance of rain , probability

    can anyone help with this?

    chance of rain

    the weather report claims that the chance of rain for certain days
    next week are

    Monday: 50% chance of rain
    Tuesday: 20% chance of rain
    Wednesday: 30% chance of rain
    Thursday: 30% chance of rain
    Friday: 10% chance of rain

    what is the chance of rain
    for the entire week as a whole ?


    tx
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  2. #2
    Senior Member Twig's Avatar
    Joined
    Mar 2008
    From
    Gothenburg
    Posts
    396
    Hi

    The chance of not raining is

     0.5 \cdot 0.8 \cdot 0.7 \cdot 0.7 \cdot 0.9 =0.1764

    The complement to the event "it is not raining" is "it is raining".

    A="It is not raining".

    So  P(A^{C})=1-0.1764= 0.8236
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  3. #3
    Member
    Joined
    Mar 2008
    Posts
    182
    Quote Originally Posted by jickjoker View Post
    can anyone help with this?

    chance of rain

    the weather report claims that the chance of rain for certain days
    next week are

    Monday: 50% chance of rain
    Tuesday: 20% chance of rain
    Wednesday: 30% chance of rain
    Thursday: 30% chance of rain
    Friday: 10% chance of rain

    what is the chance of rain
    for the entire week as a whole ?


    tx
    Do you mean raining every day during the week?
    Or at least once during the whole week?

    If it's the former it's just the product of the probabilities for each given day.

    If it's the latter, think of the probability of something happening "at least once", as 1 - Probability of it not happening at all...
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