# Probability MCQ Questions for Class 11 Math’s Chapter 16 with Answers

## Q1. The events A, B, C are mutually exclusive events such that P (i) = (3x + 1)/3, P (ii) = (x – 1)/4 and P (iii) = (1 – 2x)/4. The set of possible values of x are in the interval

(i) [1/3, 1/2]
(ii) [1/3, 2/3]
(iii) [1/3, 13/3]
(iv) [0, 1]

(i) [1/3, 1/2]

(i) 2/11
(ii) 3/11
(iii) 4/11
(iv) 5/11

(ii) 3/11

## Q3. Events A and B are said to be mutually exclusive iff

(i) P (A U B) = P (i) + P (ii)
(ii) P (A ∩ B) = P (i) × P (ii)
(iii) P(A U B) = 0
(iv) None of these

(i) P (A U B) = P (i) + P (ii)

(i) 2/11
(ii) 3/11
(iii) 4/11
(iv) 5/11

(ii) 3/11

(i) 6/13
(ii) 5/13
(iii) 4/13
(iv) 2/13

(i) 6/13

(i) 0.4
(ii) 0.8
(iii) 1.2
(iv) 1.6

(iii) 1.2

(i) 0
(ii) 1
(iii) 1/2
(iv) 1/3

(iii) 1/2

(i) 247/265
(ii) 73/256
(iii) 247/256
(iv) 27/256

(iii) 247/256

(i) 10/21
(ii) 11/21
(iii) 2/7
(iv) 5/7

(i) 10/21

(i) 3/5
(ii) 2/7
(iii) 5/7
(iv) 7/9

(iv) 7/9

(i) 1/8
(ii) 1/10
(iii) 1/15
(iv) 1/20

(iii) 1/15

(i) 1/6
(ii) 1/36
(iii) 1/18
(iv) 3/28

(ii) 1/36

(i) 247/265
(ii) 73/256
(iii) 247/256
(iv) 27/256

(iii) 247/256

(i) 2/3
(ii) 1/2
(iii) 2/7
(iv) 1/7

(iv) 1/7

## Q15. Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is

(i) 2/9
(ii) 1/9
(iii) 8/9
(iv) 7/9

(ii) 1/9

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