IB Venn Diagrams and Probability
Questions 1 to 4. The diagram below shows the probability of a student picking Maths or Physics for a university course.
1. Find the probability that a randomly chosen student is studying Maths.
1 point
0.25
0.40
0.45
0.65
Clear selection
2. Find the probability that a randomly chosen student is studying Physics only.
1 point
0.25
0.20
0.45
0.65
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3. Find the probability that a randomly chosen student is studying Maths, given that they do Physics.
1 point
0.25
0.65
0.56
0.44
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4. Find the probability that a randomly chosen student is studying Maths and Physics, given that they take at least one of these courses.
1 point
0.29
0.15
0.85
0.25
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Question 5 to 8. The following shows some probabilities of events A and B occurring.
5. Find the value of a.
1 point
a=0.50
a=0.10
a=0.20
a=0.40
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6. Which of the following is true?
1 point
Events A and B are conditional.
Events A and B are mutually exclusive.
Events A and B are independent.
Events A and B are not independent.
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6. Which of the following is true?
1 point
Events A and B are mutually exclusive.
Events A and B are conditional.
Events A and B are independent.
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7. Calculate P(A/B).
1 point
0.40
0.30
0.50
0.20
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8. Calculate P(B/A).
1 point
0.20
0.50
0.40
0.80
Clear selection
Questions 9 to 11. In the following a, b, c, and d are all probabilities.
9. Select the correct answer.
1 point
A
C
D
B
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10. Select the correct answer
1 point
C
B
D
A
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11. Given events A and B are independent, which of the following is true?
1 point
B
A
Option 3
D
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Questions 12 to 13.
12. Select the correct answer
1 point
Events A and B are mutually exclusive.
Events A and B are null.
Events A and B are independent.
Clear selection
13. Select the correct answer.
1 point
3/10
0
3/5
9/10
Clear selection
14. Select the correct answer.
1 point
1/2
5/6
3/10
1/10
Clear selection
15. Select the correct answer
1 point
3/20
1/20
3/10
1/5
Clear selection
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