Venn and tree diagrams Quiz
10 questions · easy to harder · Probability · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 5 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
40 students: 22 play soccer, 15 play tennis, 8 play both, P(both)- A) P(both) = 15
- B) P(both) = 11
- C) P(both) = 7
- D) P(both) = 14
2 Question 2
50 students: 28 take art, 20 take music, 10 take both, P(neither)Type the answer.
3 Question 3
P(rain) = 0.3, P(late given rain) = 0.4, P(late given no rain) = 0.1, find P(late)- A) P(late) = 0.19
- B) P(late) = 1.9
- C) P(late) = 0.5
- D) P(late) = 0.9
4 Question 4
P(test) = 0.5, P(pass given test) = 0.9, P(pass given no test) = 0.6, find P(pass)Type the answer.
5 Question 5
30 people: 18 like tea, 12 like coffee, 5 like both, P(tea or coffee)- A) P(tea or coffee) = 5
- B) P(tea or coffee) = 1
- C) P(tea or coffee) = 25
- D) P(tea or coffee) = 56
6 Question 6
36 people: 20 like pizza, 18 like pasta, 9 like both, P(pizza only)Type the answer.
7 Question 7
P(win) = 0.4, P(party given win) = 0.9, P(party given no win) = 0.2, find P(party)- A) P(party) = 1.1
- B) P(party) = 0.8
- C) P(party) = 0.48
- D) P(party) = 4.8
8 Question 8
40 students: 22 play soccer, 15 play tennis, 8 play both, P(tennis given soccer)Type the answer.
9 Question 9
30 people: 18 like tea, 12 like coffee, 5 like both, P(coffee given tea)- A) P(coffee | tea) = 5
- B) P(coffee | tea) = 16
- C) P(coffee | tea) = 18
- D) P(coffee | tea) = 518
10 Question 10
P(sun) = 0.6, P(walk given sun) = 0.8, P(walk given no sun) = 0.3, find P(sun given walk)Type the answer.