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Free download in PDF Class 12 Maths Chapter 13 Probability Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. These will help the students for preparation of their examination./p>
(1)
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)
(2)
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
Answer: None of the above is correct
(3)
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)
[D]
p(A’) | P(B’)
(4)
You are given that A and B are two events such that P(b) = 3/5, P(A|B) = 1/2 and P (A∪B) = then P(B|A’) equals
[A]
1/5
[B]
3/10
[C]
1/2
[D]
3/5
(5)
If A and B are two events and A ≠ Φ, B ≠ Φ, then
[A]
P (A|B) = P (a). P (b)
[C]
P (A + B). P (B|A) = 1
[D]
P (A|B) = P (a) | P (b)
(6)
If P(a) = 4/5 and P(A∩B) = 7/10, then P(B/A) is equal
[A]
1/10
[B]
1/8
[C]
7/8
[D]
17/20
(7)
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
(8)
Two dice are tossed once. The probability of getting an even number at the first dice ora total of 8 is
[A]
1/36
[B]
3/36
[C]
11/36
[D]
5/9
(9)
If P(b) = 1/5, P(A|B) = 1/2 and P(A∪B) = 4/5 then P (A∪B)’ + P (A’∪B) =
[A]
1/5
[B]
4/5
[C]
1/2
[D]
3/5
(10)
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]
2/3
[B]
1/2
[C]
3/10
[D]
1/5
(11)
If P(A∩B) = 7/10 and P(b) = 17/20, then P(A|B) equals
[A]
14/17
[B]
17/20
[C]
7/8
[D]
1/8
(12)
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
(13)
You are given that A and B are two events such that P(b) = 3/5, P(A|B) = 1/2 and P (A∪B) = 4/5, then P(a) equals
[A]
3/10
[B]
1/5
[C]
1/2
[D]
3/5
(14)
A pair of dice are rolled. The probability of obtaining an even prime number on each dice is
[A]
1/36
[B]
1/12
[C]
1/6
[D]
0
(15)
The probability that A speaks truth is 4/5 while this probability for B is 3/4. The probability that they contradict each others when asked to speak ana fact is
[A]
7/20
[B]
1/5
[C]
3/20
[D]
4/5
(16)
If P(a) = 2/5, P(b) = 3/10 and P (A∩B) = 1/5, then P (A’|B’). P(B’|A’) is equal to
[A]
5/6
[B]
5/7
[C]
25/42
[D]
1
(17)
If A and B are two independent events with P(a) = 3/5 and P (b) = 4/9, then P (A’∩B’) equals
[A]
4/15
[B]
8/15
[C]
1/3
[D]
2/9
(18)
Let P (a) = 7/13, P(b) = 9/13 and P (A∪B) = 9/13, Then P(A’|B) is equal to
[A]
6/13
[B]
4/13
[C]
4/9
[D]
5/9
(19)
If A and B are any two events such that P(a) + P(b) – P(A∩B) = P(a) then
(20)
If A and B are two events such that P(a) ≠ 0 and
1 then
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