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Math Help - weather probability

  1. #1
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    weather probability

    A day is either sunny or rainy . The probability that it is sunny for 2 consecutive days is 0.8 . The probability that a rainy day is followed by a sunny day is 0.4 . The probability that the weather forecast expects 1st October to be sunny is 0.75 .

    (1)What is the probability that 2nd October is sunny ? What is the probability that 3rd October is also sunny .
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  2. #2
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    Quote Originally Posted by thereddevils View Post
    A day is either sunny or rainy . The probability that it is sunny for 2 consecutive days is 0.8 . The probability that a rainy day is followed by a sunny day is 0.4 . The probability that the weather forecast expects 1st October to be sunny is 0.75 .

    (1)What is the probability that 2nd October is sunny ? What is the probability that 3rd October is also sunny .
    Draw a tree diagram. If you need more help, please show your work and say where you get stuck.
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    Draw a tree diagram. If you need more help, please show your work and say where you get stuck.
    ok ,

    I have drawn one but i cant find a way to show it here . However , its sunny or rainy and branch out to sunny or rainy again .

    fisrt day(1st october) is sunny , 0.75 , rainy , 0.25

    p(two concecutive days sunny)=0.8

    p(rain followed by sunny)=0.4

    P(2nd october is sunny)=0.8 x+0.4 y=1.2

    end up with something funny
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  4. #4
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    Quote Originally Posted by thereddevils View Post
    ok ,

    I have drawn one but i cant find a way to show it here . However , its sunny or rainy and branch out to sunny or rainy again .

    fisrt day(1st october) is sunny , 0.75 , rainy , 0.25

    p(two concecutive days sunny)=0.8

    p(rain followed by sunny)=0.4

    P(2nd october is sunny)=0.8 x+0.4 y=1.2

    end up with something funny
    First question:

    0.8 + (0.25)(0.4) = ....
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