1. An international company hires 60 people that speak different languages. 31 speak French (F) 14 speak French and Japanese 24 speak Japanese (J) 11 speak French and Spanish 27 speak Spanish (S) 7 speak Japanese and Spanish 4 speak all three a) Construct a Venn diagram and determine the probability that an employee only speaks Spanish. [4 marks] b) If an employee is picked at random, what is the probability that they do not speak any of these languages? [1 mark] 2. The ACS students were surveyed about food. They were asked if they bring their own lunch or buy their lunch. Of the 1700 students, 40% bring their own lunch, 60% buy a lunch and 15% do both. How many ACS students don't do either? [3 marks] 7 16 5 3. Draw a fully labeled Venn Diagram for which P(A) = 25, P(Au B) = Z' and P(A n B) = E' [3 marks] 4. Students at a community college were interviewed. % were taking math and % were taking computer science. The probability that they were taking math given that they were taking computer science was %. What is the probability that a student was taking math and computer science? [3 marks] 5. If two cards are drawn one at a time with no replacement, what is the probability of drawing any numbered card less than 6 on the first draw and then a card with the same number on the second draw? [2 marks] 6. A bag contains 6 red and 4 green marbles. Three are drawn randomly without replacement. What is the probability that at least one is green? [3 marks]