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Math Help - venn diagram problem little confusion

  1. #1
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    venn diagram problem little confusion

    .In a survey of voting in a election, if 55% of the voters who casted their votes supported person x , 61% supported y and 80% supported both of them, then what percentage of people supported neither x nor y?
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  2. #2
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    Quote Originally Posted by bluffmaster.roy.007 View Post
    .In a survey of voting in a election, if 55% of the voters who casted their votes supported person x , 61% supported y and 80% supported both of them, then what percentage of people supported neither x nor y?
    Calculate \Pr(A \cup B) = \Pr(A) + \Pr(B) - \Pr(A \cap B). Then the answer is 1 - \Pr(A \cup B). Multiply by 100 to convert into a percentage.
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  3. #3
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    Is there a mistake in the question or do i not understand?
    How can the number who support both (80%) be larger than those
    who supported x (55%) and y (61%).
    Because the number who supports both should be an intersection of x and y
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