Page 103 - Mathematics Class - XI

Case-Study Based Questions
Case-Study Based Questions

Rajeev and Megha are playing cards. Total number of cards is 52 in numbers. Each of them draws cards one
by one. On the basis of this game following question are observed.

Answer the following questions.
1. Rajeev draws four cards, find the probability that all the four cards are from the same suit.

13
13
(a) 4 × C 4 (b) 13 C 4 (c) 2 × C 4 (d) 13 C 4
52 52 52 26 C
C C C
4 4 4 4
2. Rajeev draws four cards. Find the probability that all the cards are of same colours.
26 C 26 C 26 C
(a) 4 (b) 2× 4 (c) 4× 4 (d) None of these
52 52 52
C C C
4 4 4
3. Megha draws four cards successively without replacement. What is the probability that all four cards
are kings.

(a) 1 (b) 2 (c) 29 (d) None of these
270725 270725 270725

Assertion-Reason Based Questions
Assertion-Reason Based Questions

Directions for Questions 1 to 3: 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) : In rolling a dice, event A = {1, 3, 5} and event B = {2, 4} are mutually exclusive
events.

Reason (R) : In a sample space, two events are mutually exclusive if they donot occurs at the
same time.
Q. 2. Assertion (A) : The probability of sure event is 1.
Reason (R) : Let E be an event, then 0 < P (E) < 1.
Q. 3. Assertion (A) : If two dice will be thrown simultaneously then the total number of possible

outcomes is 36 and the probability of each outcome is equal to 1 .
36

Reason (R) : Probability of an event (E) is defined as P(E) = Number of favourable cases
Number of total cases

Answers

Case-Study Based Questions: 1. (a) 2. (b) 3. (a)

Assertion-Reason Based Questions: 1. (a) 2. (b) 3. (d)

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