A nonprofit organization conducted a survey of 2040 metropolitan-area teachers regarding their beliefs about problems that hamper students' schooling. The following data were obtained. 850 said that lack of parental support is a problem. 850 said that abused or neglected children are problems. 660 said that malnutrition or students in poor health is a problem. 110 said that lack of parental support and abused or neglected children are problems. 100 said that lack of parental support and malnutrition or poor health are problems. 130 said that abused or neglected children and malnutrition or poor health are problems. 20 said that lack of parental support, abuse or neglect, and malnutrition or poor health are problems. What is the probability that a teacher selected at random from this group said that lack of parental support is the only problem hampering students' schooling? Hint: Draw a Venn diagram. (Round your answer to three decimal places.)

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A nonprofit organization conducted a survey of 2040 metropolitan-area teachers regarding their beliefs about problems that hamper students' schooling. The following data were obtained.
850 said that lack of parental support is a problem.
850 said that abused or neglected children are problems.
660 said that malnutrition or students in poor health is a problem.
110 said that lack of parental support and abused or neglected children are problems.
100 said that lack of parental support and malnutrition or poor health are problems.
130 said that abused or neglected children and malnutrition or poor health are problems.
20 said that lack of parental support, abuse or neglect, and malnutrition or poor health are problems.
What is the probability that a teacher selected at random from this group said that lack of parental support is the only problem hampering students' schooling? Hint: Draw a Venn diagram. (Round your answer to three decimal places.)
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