IM2.9 Challenge problem

Lind, Jon
At Dawnview High there are 400 Grade 11 learners. 270 do Computer Science, 300 do English and 50 do Business studies. All those doing Computer Science do English, 20 take Computer Science and Business studies and 35 take English and Business studies. Complete a well-labeled venn diagram of this situation below (Hint: 3 circles)

Using the Venn diagram, calculate the probability that a pupil drawn at random will take: a. English, but not Business studies or Computer Science b. English but not Business studies c. English or Business studies but not Computer Science d. English or Business studies ANSWER USING REDUCED FRACTIONS