Question

A probability experiment is conducted in which the sample space of the experiment is upper s equals startset 6 comma 7 comma 8 comma 9 comma 10 comma 11 comma 12 comma 13 comma 14 comma 15 comma 16 comma 17 endsets={6,7,8,9,10,11,12,13,14,15,16,17}. let event upper e equals startset 7 comma 8 comma 9 comma 10 comma 11 comma 12 endsete={7,8,9,10,11,12}. assume each outcome is equally likely. list the outcomes in upper e superscript cec. find upper p left parenthesis upper e superscript c right parenthesispec.

Answer 1

The events in E^c would be:

$E^c= \{6, 13, 14, 15, 16, 17\}$

The complement of an event is everything that is NOT in it, so we choose all of the values from the sample space that are not in E.