Venn and tree diagrams Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/probability/venn-and-tree-diagrams/quiz/

1. 1

   40 students: 22 play soccer, 15 play tennis, 8 play both, P(both)
   1. A) P(both) = 15
   2. B) P(both) = 11
   3. C) P(both) = 7
   4. D) P(both) = 14

2. 2

   50 students: 28 take art, 20 take music, 10 take both, P(neither)

   Answer: ____________________

3. 3

   P(rain) = 0.3, P(late given rain) = 0.4, P(late given no rain) = 0.1, find P(late)
   1. A) P(late) = 0.19
   2. B) P(late) = 1.9
   3. C) P(late) = 0.5
   4. D) P(late) = 0.9

4. 4

   P(test) = 0.5, P(pass given test) = 0.9, P(pass given no test) = 0.6, find P(pass)

   Answer: ____________________

5. 5

   30 people: 18 like tea, 12 like coffee, 5 like both, P(tea or coffee)
   1. A) P(tea or coffee) = 5
   2. B) P(tea or coffee) = 1
   3. C) P(tea or coffee) = 25
   4. D) P(tea or coffee) = 56

6. 6

   36 people: 20 like pizza, 18 like pasta, 9 like both, P(pizza only)

   Answer: ____________________

7. 7

   P(win) = 0.4, P(party given win) = 0.9, P(party given no win) = 0.2, find P(party)
   1. A) P(party) = 1.1
   2. B) P(party) = 0.8
   3. C) P(party) = 0.48
   4. D) P(party) = 4.8

8. 8

   40 students: 22 play soccer, 15 play tennis, 8 play both, P(tennis given soccer)

   Answer: ____________________

9. 9

   30 people: 18 like tea, 12 like coffee, 5 like both, P(coffee given tea)
   1. A) P(coffee | tea) = 5
   2. B) P(coffee | tea) = 16
   3. C) P(coffee | tea) = 18
   4. D) P(coffee | tea) = 518

10. 10

    P(sun) = 0.6, P(walk given sun) = 0.8, P(walk given no sun) = 0.3, find P(sun given walk)

    Answer: ____________________