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Math Help - tree diagram

  1. #1
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    tree diagram

    A football team's best player plays for the full game in 50% of matches, part of the game in 40% and takes no part in the other 10%. When he plays for the full game the probability of a win for his team is 0.7; when he plays for part of the game it is 0.5; when he doesn't play it is 0.3.

    Draw a tree diagram for this data.

    How woudl you go about doing this? I'm really confused with what the braches are. I assume the first 2 would be win and lose but I don't know what next.
    Last edited by JQ2009; March 8th 2010 at 09:43 AM.
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  2. #2
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    Quote Originally Posted by JQ2009 View Post
    A football team's best player plays for the full game in 50% of matches, part of the game in 40% and takes no part in the other 10%. When he plays for the full game the probability of a win for his team is 0.7; when he plays for part of the game it is 0.5; when he doesn't play it is 0.3.

    Draw a tree diagram for this data.

    How woudl you go about doing this? I'm really confused with what the braches are. I assume the first 2 would be win and lose but I don't know what next.
    Don't start with the chance of win. It's usually best to start with what you're given first in the question.

    In this case start with whether or not he plays.

    One branch will be 0.5
    Second branch will be 0.4
    Third is 0.1
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