Class 11 CBSE Applied Maths Probability Exercise 12.2

Class 11 CBSE Applied Maths aims to develop an understanding of basic mathematical and statistical tools and their applications in the field of commerce (business/ finance/economics) and social sciences. Topics covered in Class 11th Applied Maths includes : Numbers, Quantification and Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index Numbers and Time-based data , Financial Mathematics , Linear Programming.


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Exercise 12.1 Exercise 12.2 Exercise 12.3 Exercise 12.4 Exercise 12.5

Q1. Give an example of an impossible event.

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Q2. Give an example of a sure event

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Q3. A coin is tossed. Write its sample space and all possible events

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Q4. Consider the experiment of rolling a die. If A be the event 'getting a prime number' and B be the event 'getting an odd number', then write the sets representing the events

(i) A or B
(ii) A and B
(iii) A but not B
(iv) not A.

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Q5. A coin and a die are tossed. Describe the sample space and the following events : \

(i) A=getting a head and an even number
(ii) B=getting a prime number.
(iii) C= getting a tail and an odd number
(iv) D= getting a head or a tail.

Now answer the following questions:

(a) Are A and B mutually exclusive?
(b) Are A and C mutually exclusive?
(c) Are A and C exhaustive?
(d) AreA and D exhaustive?

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Q6. Two dice are thrown. If E is the event "both dice come up with same number" and F is the event "product of the numbers on the two dice is odd", then describe

(i) E
(ii)F
(i) E or F
(iv) E and F
(v) E but not F

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Q7. From a group of 2 men and 3 women, two persons are selected. Describe the sample space of the experiment. If E is the event in which one man and one woman are selected, then which are the cases favourable to E?

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Q8. Two dice are rolled. Let A, B and C be the evernts of getting a sum 2, sum 3, and a sum 4,respectively

(i) Is event A simple?
(ii) Is event B simple?
(iii) Is event C compound?
(iv) Are events A and B mutually exclusive?

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Q9. From a group of 2 boys and 3 girls, two children are selected at random. Describe the events

(i) A:both selected children are girls
(ii) B: the selected group consists of one boy and one girl.
(iii) C:atleast one boy is selected

Which pair (s) of events is (are) mutually exclusive?

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