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

2. Basic Terms of Probability (MAT 142)
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. Basic Terms of Probability (MAT 142)
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. Basic Terms of Probability (MAT 142)
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. Basic Terms of Probability (MAT 142)
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
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
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