CBSE Test Paper (Probability) (Class - XII Mathematics) Class 12 Notes | EduRev

Class 12 : CBSE Test Paper (Probability) (Class - XII Mathematics) Class 12 Notes | EduRev

 Page 1


CBSE TEST PAPER-03 
CLASS - XII MATHEMATICS (Probability) 
Topic: - Probability 
1. Find the probability distribution of number of doublets in three throws of a pair of
dice.
[4] 
2. Let X denote the no of hours you study during a randomly selectee school day. The
probability that X can take the values x, has the following form where K is some
unknown constant
( )
0.1 if x = 0
 if x = 1, or 2
p
K (5 - x) if x = 3 or 4 
0, otherwise
kx
x ?
?
?
?
= =
?
?
?
?
(a) Find the value of K  
(b) What is the probability that you study at least two hours. 
 Exactly two hours? At most 2 hr. 
[4] 
3. Find the variance of the number obtained on a throw of an unbiased die. [4] 
4. Two cards are drawn simultaneously (or successively without replacement) for a
well shuffled of 52 cards. Find the mean, variance and standard deviation of the
number of kings.
[6] 
5. From a lot of 30 bulbs which include 6 defectives, a sample of 4 bulbs is drawn at
random with replacement. Find the probability distribution of the number of
defective bulbs.
[6] 
6. In a meeting 70% of the members favour and 30% oppose a certain proposal. A
member is selected at random and we take x = 0 if he opposed and x = 1 if he is in
favour. Find E (x) and var (x).
[6] 
7. A and B throw a die alternatively till one of them gets a ‘6’ and win the game. Find
their respective probabilities of winning if A starts first.
[6] 
8. 
Find the mean of the Binomial distribution B 
1
4, 
3
? ?
? ?
? ?
[6] 
9. If a leap year is selected at random, what is the chance that it will contain 53
Tuesdays?
[4] 
10. Bag I contain 3 red and 4 black balls and bag II contain 4 red and 5 black balls. One
ball is transferred from Bag I to Bag II and then a ball is drawn from Bag II. The ball
so drawn is fund to be red in colour. Find the probability that the transferee ball is
black.
[6] 
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