Page 93 - Mathematics Class - XII

Case-Study Based Questions
Case-Study Based Questions
Three friends A, B and C are playing a dice game. The numbers rolled up by them
in their first three chances were noted and given by A = {1, 5}, B = {2, 4, 5} and
C = {1, 2, 5} as A reaches the cell ‘SKIP YOUR NEXT TURN’ in the second throw.
Read the paragraph carefully and answer the following questions.
1. P (A/B)

(a) 1 (b) 1 (c) 1 (d) 2
6 3 2 3
2. P (B/C)

(a) 2 (b) 1 (c) 1 (d) 0
3 12 9
3. P [(A ∩ B)/C]

(a) 1 (b) 1 (c) 1 (d) 1
6 2 12 3
4. P (A/C)

(a) 1 (b) 1 (c) 2 (d) None of these
4 3
5. P [(A ∪ B)/C]

(a) 0 (b) 1 (c) 2 (d) 1
2 3

Assertion-Reason Based Questions
Assertion-Reason Based Questions

Directions for Questions 1 to 2: In each of the questions given below, there are two statements marked as
Assertion (A) and Reason (R). Mark your answer as per the codes provided below:
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false. (d) A is false but R is true.
Q. 1. Assertion (A) : Two dice are thrown simultaneously. There are 11 possible outcomes and each of
1
them has a probability .
11

Reason (R) : Probability of an event (E) is defined as P(E) = Number of favourable outcomes
Total numberof possible outcomees
Q. 2. Assertion (A) : Two coins are tossed simultaneously. The probability of getting two heads, if it is
1
known that atleast one head comes up, is .
3
Reason (R) : Let E and F be two events with a random experiment then, P E PE ( F)
F PF ()

Answers

Case-Study Based Questions: 1. (b) 2. (a) 3. (d) 4. (c) 5. (d)

Assertion-Reason Based Questions: 1. (d) 2. (a)

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