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you have learned about probabilities different types of events and they are Venn diagrams now itamp;#39;s time to put all that into practice letamp;#39;s look at constructing Venn diagrams letamp;#39;s look at the coffee tea or juice problem a group of 160 students when asked if they drink coffee tea or juice we are told that a tea drink coffee 70 drink tea a tea drink juice for tea to drink both coffee and juice there is six drink both tea and juice 136 drink at least one of the drinks 14 drink all three drinks now we must put all this information on a Venn diagram but where do we start remember hundred and sixty students were asked about being these three drinks so our sample size is 116 now we have coffee tea or juice meaning that we have three events in our sample space a tea drink coffee so the circle for coffee is going to have 18 we know that 70 drink tea a tea drink juice 14 drink all three drinks what does this mean this is the intersection of all the three circles so where