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A Venn diagram is a picture that represents the outcomes of an experiment. It generally consists of a box that represents the sample space S together with circles or ovals. The circles or ovals represent events.
Suppose an experiment has the outcomes 1, 2, 3, ... , 12 where each outcome has an equal chance of occurring. Let event A={1, 2, 3, 4, 5, 6} and event B={6, 7, 8, 9} . Then A AND B={6} and A OR B={1, 2, 3, 4, 5, 6, 7, 8, 9} . The Venn diagram is as follows:
Flip 2 fair coins. Let A = tails on the first coin. Let B = tails on the second coin. Then A={TT,TH} and B={TT,HT} . Therefore, A AND B={TT} . A OR B={TH,TT,HT} .
The sample space when you flip two fair coins is S={HH,HT,TH,TT} . The outcome HH is in neither A nor B . The Venn diagram is as follows:
Forty percent of the students at a local college belong to a club and 50% work part time. Five percent of the students work part time and belong to a club. Draw a Venn diagram showing the relationships. Let C = student belongs to a club and PT = student works part time.
If a student is selected at random find
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