Example 2
the completed hypothetical 1000 table organizes information in a way that makes it possible to answer various questions. for example, you can investigate whether
female students are more likely to be involved in the after-school athletic programs.
consider the following events:
 let represent the event "a randomly selected student is female."
 let "not " represent "the complement of " the complement of a represents the event "a randomly
selected student is not female," which is equivalent to the event "a randomly selected student is male."
 let represent the event "a randomly selected student participates in an after-school athletics program."
 let "not " represent "the complement of " the complement of represents the event "a randomly selected student does not participate in an after-school athletics program."
 let " or " (described as union represent the event "a randomly selected student is female or participates in an after-school athletics program."
 let " and " (described as intersect represent the event "a randomly selected student is female and participates in an after-school athletics program."