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Math Help - [Probability] – A tree diagram problem

  1. #1
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    [Probability] – A tree diagram problem

    A certain statistician’s breakfast consists of either some cereal or toast (but not both) to eat and one drink from a choice of fruit juice, tea or coffee. If he has cereal to eat, the probability that he chooses coffee is 3/5 and the probability he chooses tea is 3/10. If he has toast to eat, the probability he chooses coffee is 2/5 and the probability he chooses tea is 1/5.
    Given that he has cereal with probability ¾.

    (a) find the probability that on any particular day he has
    (i) fruit juice (ii) cereal & coffee.

    (b) Find his most popular breakfast combination.


    I draw a tree diagram like this.

    Is it right? If wrong then how could I draw this?

    Then now what to do?
    Attached Thumbnails Attached Thumbnails [Probability] – A tree diagram problem-5b.3.jpg  
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  2. #2
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    Quote Originally Posted by geton View Post
    A certain statistician’s breakfast consists of either some cereal or toast (but not both) to eat and one drink from a choice of fruit juice, tea or coffee. If he has cereal to eat, the probability that he chooses coffee is 3/5 and the probability he chooses tea is 3/10. If he has toast to eat, the probability he chooses coffee is 2/5 and the probability he chooses tea is 1/5.
    Given that he has cereal with probability ¾.

    (a) find the probability that on any particular day he has
    (i) fruit juice (ii) cereal & coffee.

    (b) Find his most popular breakfast combination.


    I draw a tree diagram like this.

    Is it right? If wrong then how could I draw this?

    Then now what to do?
    Your tree diagram is correct. Where are you stuck using it? For (b), use it to find the combination that has the largest probability.
    Last edited by mr fantastic; October 11th 2008 at 01:34 PM.
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    Your tree diagram is correct. Where are you stuck using it? For (b), use it to find the combination that has the largest probability.
    Thanks I got it.
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