The Basics of Probability Theory and Complements and Unions of Events

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The Basics of Probability Theory and Complements and Unions of Events

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

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

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

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

If o(E) = 1:6, then find o(E’ ).

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

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