MCQ Questions for Class 12 Maths Chapter 13 Probability with Answers Set-B

Probability Class 12 Maths MCQs Questions with Answers

Check the below NCERT MCQ Questions for Class 12 Maths Chapter 13 Probability with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have Provided Probability Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

Class 12 Maths Chapter 13 Quiz

Class 12 Maths Chapter 13 MCQ Online Test

You can refer to NCERT Solutions for Class 12 Maths Chapter 13 Probability to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Probability Class 12 Maths MCQ online test

Q1.	A pair of dice are rolled. The probability of obtaining an even prime number on each dice is
	A. \(\frac{1}{36}\)
	B. \(\frac{1}{12}\)
	C. \(\frac{1}{6}\)
	D. 0

Ans: \(\frac{1}{36}\)

Q2.	If A, B are two events associated with same random experiment such that P(a) = 0.4, P(b) = 0.8 and P(B/A) = 0.6 then P(A/B) is
	A. 0.3
	B. 0.4
	C. 0.5
	D. 0.6

Ans: 0.3

Q3.	If P(a) = \(\frac{3}{8}\), P(b) = \(\frac{5}{8}\), P(A∪B) = \(\frac{3}{4}\) then p(\(\frac{B}{A}\)) is
	A. \(\frac{3}{47}\)
	B. \(\frac{5}{49}\)
	C. \(\frac{2}{3}\)
	D. \(\frac{1}{4}\)

Ans: \(\frac{2}{3}\)

Q4.	An urn contain’s balls of which 3 are red, 4 are blue and 2 are green, 3 balls are drawn at random without replacement from the urn. The probability that the 3 balls haye different colours is
	A. \(\frac{1}{3}\)
	B. \(\frac{2}{7}\)
	C. \(\frac{1}{21}\)
	D. \(\frac{2}{23}\)

Ans: \(\frac{2}{7}\)

Q5.	An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. A consists 4 outcomes, the number of outcomes that B must have so that A and B are independent is
	A. 2, 4 or 8
	B. 36 or 9
	C. 4 or 8
	D. 5 or 10

Ans: 5 or 10

Q6.	If P(a) = \(\frac{4}{5}\) and P(A∩B) = \(\frac{7}{10}\), then P(B/A) is equal
	A. \(\frac{1}{10}\)
	B. \(\frac{1}{8}\)
	C. \(\frac{7}{8}\)
	D. \(\frac{17}{20}\)

Ans: \(\frac{17}{20}\)

Q7.	If P(A∩B) = \(\frac{7}{10}\) and P(b) = \(\frac{17}{20}\), then P(A\|B) equals
	A. \(\frac{14}{17}\)
	B. \(\frac{17}{20}\)
	C. \(\frac{7}{8}\)
	D. \(\frac{1}{8}\)

Ans: \(\frac{14}{17}\)

Q8.	If P(a) = \(\frac{7}{10}\) P(b) = \(\frac{7}{10}\) and P(A∪B) = \(\frac{7}{10}\) then P (B\|A) + P(A\|B) equals
	A. \(\frac{1}{4}\)
	B. \(\frac{1}{3}\)
	C. \(\frac{5}{12}\)
	D. \(\frac{7}{12}\)

Ans: \(\frac{7}{12}\)

Q9.	If P(a) = \(\frac{2}{5}\), P(b) = \(\frac{3}{10}\) and P (A∩B) = \(\frac{1}{5}\), then P (A’\|B’). P(B’\|A’) is equal to
	A. \(\frac{5}{6}\)
	B. \(\frac{5}{7}\)
	C. \(\frac{25}{42}\)
	D. 1

Ans: \(\frac{25}{42}\)

Q10.	If P(a) = 0,4, P(b) = 0.8 and P(B\|A) = 0.6 then P(A∪B) is equal to
	A. 0.24
	B. 0.3
	C. 0.48
	D. 0.96

Ans: 0.96

Q11.	If A and B are two events and A ≠ Φ, B ≠ Φ, then
	A. P (A\|B) = P (a). P (b)
	B. P (A\|B) = \(\frac{P(A∩B)}{P(B)}\)
	C. P (A + B). P (B\|A) = 1
	D. P (A\|B) = P (a) \| P (b)

Ans: P (A|B) = \(\frac{P(A∩B)}{P(B)}\)

Q12.	A and B are events such that P(a) = 0.4, P(b) = 0.3 and P(A∪B) = 0.5. Then P(B∩A) equals
	A. \(\frac{2}{3}\)
	B. \(\frac{1}{2}\)
	C. \(\frac{3}{10}\)
	D. \(\frac{1}{5}\)

Ans: \(\frac{1}{5}\)

Q13.	You are given that A and B are two events such that P(b) = \(\frac{3}{5}\), P(A\|B) = \(\frac{1}{2}\) and P (A∪B) = \(\frac{4}{5}\), then P(a) equals
	A. \(\frac{3}{10}\)
	B. \(\frac{1}{5}\)
	C. \(\frac{1}{2}\)
	D. \(\frac{3}{5}\)

Ans: \(\frac{1}{2}\)

Q14.	If P(b) = \(\frac{1}{5}\), P(A\|B) = \(\frac{1}{2}\) and P(A∪B) = \(\frac{4}{5}\) then P (A∪B)’ + P (A’∪B) =
	A. \(\frac{1}{5}\)
	B. \(\frac{4}{5}\)
	C. \(\frac{1}{2}\)
	D. \(\frac{3}{5}\)

Ans: \(\frac{3}{5}\)

Q15.	Let P (a) = \(\frac{7}{13}\), P(b) = \(\frac{9}{13}\) and P (A∪B) = \(\frac{9}{13}\), Then P(A’\|B) is equal to
	A. \(\frac{6}{13}\)
	B. \(\frac{4}{13}\)
	C. \(\frac{4}{9}\)
	D. \(\frac{5}{9}\)

Ans: \(\frac{5}{9}\)

Q16.	If A and B are such that events that P(a) > 0 and P(b) ≠ 1, then P (A’\|B’) equal
	A. 1 – P (A\|B)
	B. 1 – P(A’\|B)
	C. \(\frac{1-P(A∪B)}{P(B’)}\)
	D. p(A’) \| P(B’)

Ans: \(\frac{1-P(A∪B)}{P(B’)}\)

Q17.	If two events are independent, then
	A. they must be mutually exclusive
	B. the sum of their probabilities must be equal to 1
	C. (a) and (b) both are correct
	D. None of the above is correct

Ans: None of the above is correct

Q18.	If A and B are two independent events with P(a) = \(\frac{3}{5}\) and P (b) = \(\frac{4}{9}\), then P (A’∩B’) equals
	A. \(\frac{4}{15}\)
	B. \(\frac{8}{15}\)
	C. \(\frac{1}{3}\)
	D. \(\frac{2}{9}\)

Ans: \(\frac{2}{9}\)

Q19.	Let A and B two event such that P(a) = \(\frac{3}{8}\), P(b) = \(\frac{5}{8}\) and P(A∪B) = \(\frac{3}{4}\). Then P(A\|B).P(A’\|B) is equal to
	A. \(\frac{2}{5}\)
	B. \(\frac{3}{8}\)
	C. \(\frac{3}{20}\)
	D. \(\frac{6}{25}\)

Ans: \(\frac{6}{25}\)

Q20.	If the event A and B are independent, then P(A∩B) is equal to
	A. P(a) + P(b)
	B. P(a) – P(b)
	C. P(a). P(b)
	D. P(a) \| P(b)

Ans: P(a). P(b)

MCQ Questions for Class 12 Maths

NCERT Solution of Maths Class 12

Class 12 Maths

NCERT SOLUTIONS FOR CLASS 12

Q11.	If A and B are two events and A ≠ Φ, B ≠ Φ, then
	A. P (A\|B) = P (a). P (b)
	B. P (A\|B) = \(\frac{P(A∩B)}{P(B)}\)
	C. P (A + B). P (B\|A) = 1
	D. P (A\|B) = P (a) \| P (b)

Q16.	If A and B are such that events that P(a) > 0 and P(b) ≠ 1, then P (A’\|B’) equal
	A. 1 – P (A\|B)
	B. 1 – P(A’\|B)
	C. \(\frac{1-P(A∪B)}{P(B’)}\)
	D. p(A’) \| P(B’)

MCQ Questions for Class 12 Maths Chapter 13 Probability with Answers

MCQ Questions for Class 12 Maths Chapter 13 Probability with Answers Set-B

Probability Class 12 Maths MCQs Questions with Answers

Class 12 Maths Chapter 13 Quiz

Class 12 Maths Chapter 13 MCQ Online Test

Probability Class 12 Maths MCQ online test

MCQ Questions for Class 12 Maths

NCERT Solution of Maths Class 12

Class 12 Maths

NCERT Solution of Maths Class 12 Chapter 1

NCERT Solution of Maths Class 12 Chapter 2

NCERT Solution of Maths Class 12 Chapter 3

NCERT Solution of Maths Class 12 Chapter 4

NCERT Solution of Maths Class 12 Chapter 5

NCERT Solution of Maths Class 12 Chapter 6

NCERT Solution of Maths Class 12 Chapter 7

NCERT Solution of Maths Class 12 Chapter 8

NCERT Solution of Maths Class 12 Chapter 9

NCERT Solution of Maths Class 12 Chapter 10

NCERT Solution of Maths Class 12 Chapter 11

NCERT Solution of Maths Class 12 Chapter 12

NCERT Solution of Maths Class 12 Chapter 13

MCQ QUESTIONS WITH ANSWER

NCERT SOLUTIONS FOR CLASS 12

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