# Class 11 Maths MCQ – Probability – Events – 2

This set of Class 11 Maths Chapter 16 Multiple Choice Questions & Answers (MCQs) focuses on “Probability – Events – 2”.

1. Event _____________ contains elements which are either in A or in B or in both.
a) A or B
b) A and B
c) A but not B
d) B but not A

Explanation: Event “A or B” contains elements which are either in A or in B or in both. It is also called union of the two sets.

2. Event “A or B” is represented by _____________
a) A∪B
b) A∩B
c) A∩B’
d) A’∩B

Explanation: Event “A or B” contains elements which are either in A or in B or in both. It is also called union of the two sets and is represented by A∪B.

3. Event “A and B” is represented by _____________
a) A∪B
b) A∩B
c) A∩B’
d) A’∩B

Explanation: Event “A and B” contains elements which are both in A and B. It is also called intersection of two sets and is represented by A∩B.

4. Event _____________ contains elements which are present in both A as well as B.
a) A or B
b) A and B
c) A but not B
d) B but not A

Explanation: Event “A and B” contains elements which are in A as well as B. It is also called intersection of the two sets.

5. Event _____________ contains elements which are present in A and absent in B.
a) A or B
b) A and B
c) A but not B
d) B but not A

Explanation: Event “A but not B” contains elements which are present in A but not in B.
It is represented by A-B or A∩B’.
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6. Event _____________ contains elements which are present in B and absent in A.
a) A or B
b) A and B
c) A but not B
d) B but not A

Explanation: Event “B but not A” contains elements which are present in B but not in A.
It is represented by B-A or B∩A’.

7. Event “A but not B” is represented by _____________
a) A∪B
b) A∩B
c) A∩B’
d) A’∩B

Explanation: Event “A but not B” contains elements which are present in A but not in B.
It is represented by A-B or A∩B’.

8. Event “B but not A” is represented by _____________
a) A∪B
b) A∩B
c) A∩B’
d) A’∩B

Explanation: Event “B but not A” contains elements which are present in B but not in A.
It is represented by B-A or B∩A’.

9. If A∩B=ϕ then set is said to be mutually exhaustive.
a) True
b) False

Explanation: If A∩B=ϕ then set is said to be mutually exclusive not mutually exhaustive. If both sets A and B have no element in common then it is a pair of mutually exclusive sets.

10. If A∪B=S then set is said to be mutually exhaustive.
a) True
b) False

Explanation: If A∪B=S then set is said to be mutually exhaustive. If both sets A and B have together form sample space then it is a pair of mutually exhaustive sets.

11. Two dice are thrown simultaneously. Let A be the event of getting sum less than 4 and B be the event of getting sum not more than 4. Find set “A or B”.
a) {(1,1), (1,2), (2,1)}
b) {}
c) {(1,1), (1,2), (1,3), (2,1), (2,2), (3,1)}
d) {(1,3), (2,2), (3,1)}

Explanation: A = {(1,1), (1,2), (2,1)}
B= {(1,1), (1,2), (1,3), (2,1), (2,2), (3,1)}
“A or B” contains elements of either A or B or both.
So, A or B = {(1,1), (1,2), (1,3), (2,1), (2,2), (3,1)}.

12. Two dice are thrown simultaneously. Let A be the event of getting sum less than 4 and B be the event of getting sum not more than 4. Find set “A and B”.
a) {(1,1), (1,2), (2,1)}
b) {}
c) {(1,1), (1,2), (1,3), (2,1), (2,2), (3,1)}
d) {(1,3), (2,2), (3,1)}

Explanation: A = {(1,1), (1,2), (2,1)}
B= {(1,1), (1,2), (1,3), (2,1), (2,2), (3,1)}
“A and B” contains elements present in both A and B.
So, A and B = {(1,1), (1,2), (2,1)}.

13. Two dice are thrown simultaneously. Let A be the event of getting sum less than 4 and B be the event of getting sum not more than 4. Find set “A and not B”.
a) {(1,1), (1,2), (2,1)}
b) {}
c) {(1,1), (1,2), (1,3), (2,1), (2,2), (3,1)}
d) {(1,3), (2,2), (3,1)}

Explanation: A = {(1,1), (1,2), (2,1)}
B= {(1,1), (1,2), (1,3), (2,1), (2,2), (3,1)}
“A and not B” contains elements which are in A but not in B.
So, A and not B = {}.

14. Two dice are thrown simultaneously. Let A be the event of getting sum less than 4 and B be the event of getting sum not more than 4. Find set “B and not A”.
a) {(1,1), (1,2), (2,1)}
b) {}
c) {(1,1), (1,2), (1,3), (2,1), (2,2), (3,1)}
d) {(1,3), (2,2), (3,1)}

Explanation: A = {(1,1), (1,2), (2,1)}
B= {(1,1), (1,2), (1,3), (2,1), (2,2), (3,1)}
“B and not A” contains elements which are in B but not in A.
So, B and not A = {(1,3), (2,2), (3,1)}.

Sanfoundry Global Education & Learning Series – Mathematics – Class 11.

To practice all chapters and topics of class 11 Mathematics, here is complete set of 1000+ Multiple Choice Questions and Answers.

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