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The Basics of Probability Theory and Complements and Unions of Events

The Basics of Probability Theory and Complements and Unions of Events. A family has three children.  Using b to stand for boy and g to stand for girl, and using ordered triples such as ( bbg ) give: . the sample space.

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The Basics of Probability Theory and Complements and Unions of Events

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  1. The Basics of Probability Theoryand Complements and Unions of Events

  2. A family has three children.  Using b to stand for boy and g to stand for girl, and using ordered triples such as(bbg) give: the sample space

  3. A family has three children.  Using b to stand for boy and g to stand for girl, and using ordered triples such as(bbg) give: the event E that the family has exactly two daughters

  4. A family has three children.  Using b to stand for boy and g to stand for girl, and using ordered triples such as(bbg) give: the event F that the family has at least two daughters

  5. A family has three children.  Using b to stand for boy and g to stand for girl, and using ordered triples such as(bbg) give: the event G that the family has three daughters

  6. If o(E) = 1:6, then find o(E’ ).

  7. Alex is taking two courses, algebra and U. S. history.  Student records indicate that the probability of passing algebra is .35, that of failing U. S. history is .35, and that of passing at least one of the two courses is .80.  Find the probability that • Alex will pass history • Alex will pass both courses

  8. Alex is taking two courses, algebra and U. S. history.  Student records indicate that the probability of passing algebra is .35, that of failing U. S. history is .35, and that of passing at least one of the two courses is .80.  Find the probability that • Alex will fail both courses • Alex will pass exactly one course

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