MCA / NIMCET Preparation 2023 / 2024 : Probability.

Assignment
NIMCET
Probability and Probability
Distribution
By
BHARAT BHUSHAN @ B. K. NAL
Assistant Professor (Computer Science)
Director, BSTI Kokar
&
SUPRIYA BHARATI
Assistant Professor (Computer Science)
Asst. Director, BSTI, Kokar
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Probability

Probability and Probability Distribution
1. If four vertices of a regular octagon are chosen at random, then the
probability that the quadrilateral formed by them is a rectangle, is
(a)
1
8
(b)
2
21
(c)
1
32
(d)
1
35
2. If a committee of 3 is to be chosen from a group of 38 people of which you
are a member. What is the probability that you will be on the committee ?
(a)
38
3
 
 
 
(b)
37
2
 
 
 
(c)
37
2
38
3
 
 
 
 
 
 
(d)
666
8436
3. Four boys and three stand in a queue for an interview, probability that
they will in alternate position is
(a)
1
34
(a)
1
35
(b)
1
17
(d)
1
68
4. Among 15 players, 8 are batsmen and 7 are bowlers. Find the probability
that a team is chosen of 6 batsmen and 5 bowlers.
(a)
8 7
6 5
15
11
C C
C

(b)
8 7
6 5
15
11
C C
C

(c)
15
28
(d) None of these
5. Out of 30 consecutive numbers, 2 are chosen at random. The probability
that their sum is odd, is
(a)
14
29
(b)
16
29
(c)
15
29
(d)
10
29
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6. A bag contains 4 white, 5 red and 6 green balls. Three balls are packed up
randomly. The probability that a white, a red and a green ball is drawn, is
(a)
15
91
(b)
30
91
(c)
20
91
(d)
24
91
7. Three cards are drawn at random from a pack of 52 cards. What is the
chance of drawing three aces?
(a)
3
5525
(b)
2
5525
(c)
1
5525
(d) None of these
8. A drawer contains 5 brown socks and 4 blue socks well mixed. A man
reaches the drawer and pulls out 2 socks at random. What is the
probability that they match ?
(a)
4
9
(b)
5
8
(c)
5
9
(d)
7
12
9. 5 persons A, B, C, D and E are in queue of a shop. The probability that A
and E always together, is
(a)
1
4
(b)
2
3
(c)
2
5
(d)
3
5
10. From eight cards numbered 1 to 80, two cards are selected randomly. The
probability that both the cards have the numbers divisible by 4 is given by
(a)
21
316
(b)
19
316
(c)
1
4
(d) None of these
11.Let A and B be two finite sets having m and n elements respectively such
that m  n. A mapping is selected at random from the set of all mapping
from A to B. The probability that the mapping selected is an injection, is
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(a)
!
( )! n
n
n m m

(b)
!
( )! m
n
n m n

(c)
!
( )! m
m
n m n

(d)
!
( )! n
m
n m m

12.Fifteen persons among whom are A and B, sit down at random at a round
table. The probability that there are 4 persons between A and B, is
(a)
1
3
(b)
2
3
(c)
2
7
(d)
1
7
13. A card is drawn from a pack of 52 cards. A gambler be that it is a spade
or an ace. What are the odds against his winning this bet ?
(a) 17 : 52 (b) 52 : 17
(c) 9 : 4 (d) 4 : 9
14. For an events, odds against is 6 : 5. The probability that event does not
occur, is
(a)
5
6
(b)
6
11
(c)
5
11
(d)
1
6
15. Three ships A, B and C sail from England to India. If the ratio of their
arriving safely are 2 : 5, 3 : 7 and 6 : 11 respectively, then the probability
of all the ships for arriving safely is
(a)
18
595
(b)
6
17
(c)
3
10
(d)
2
7
16.The probabilities of three mutually exclusive events are 2/3, 1/4 and 1/6.
The statement is
(a) True (b) Wrong
(c) Could be either (d) Do not know
17.If A and B are two events such that P(A) = 0.4, P(A + B) = 0.7 and P(AB) =
0.2, then P(B) is equal to
(a) 0.1 (b) 0.3
(c) 0.5 (d) None of these
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18.Suppose that A, B, C are events such that P(A) = P(B) = P(C) =
1
4
, P(AB)
= P(CB) = 0, P(AC) =
1
8
, then P(A +B) is equal to
(a) 0.125 (b) 0.25
(c) 0.375 (d) 0.5
19.A coin is tossed twice. If events A and B are defined as A = head on first
toss, B = head on second toss. Then, the probability of A B is equal to
(a)
1
4
(b)
1
2
(c)
1
8
(d)
3
4
20.The probability of happening at least one of the events A and B is 0.6. If
the events A and B happens simultaneously with the probability 0.2, then
P(  ) + P( ) is equal to
(a) 0.4 (b) 0.8
(c) 1.2 (d) 1.4
21.If P(A) =
1
4
, P(B) =
5
8
and P(A B) =
3
4
, then P(A B) is equal to
(a)
1
8
(b) 0
(c)
3
4
(d) 1
22.If A and B are two independent events such that P(A) = 0.40, P(B) = 0.50.
Find P(neither A nor B)
(a) 0.90 (b) 0.10
(c) 0.2 (d) 0.3
23.If A and B are two events such that P(A  B) =
5
6
, P(A B) =
1
3
, then P(A)
is equal to
(a)
1
4
(b)
1
3
(c)
1
2
(d)
2
3
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24.If A and B are two events that P(A  B) + P(A B) =
7
8
and P(A) = 2P(B),
then P(A) is equal to
(a)
7
12
(b)
7
24
(c)
5
12
(d)
17
24
25.The probabilities that A and B will die within a year are p and q
respectively, then the probability that only one of them will be alive at the
end of the year is
(a) p + q (b) p + q – 2pq
(c) p + q – pq (d) p + q + pq
26.A and B are two independent events. The probability that both A and B
occur is
1
6
and the probability that neither of them occurs is
1
3
. Then, the
probability of the two events are, respectively
(a)
1
2
and
1
3
(b)
1
5
and
1
6
(c)
1
2
and
1
6
(d)
2
3
and
1
4
27.For two given events A and B, P(A B) is equal to
(a) Not less than P(A) + P(B) – 1
(b) Not greater than P(A) + P(B)
(c) Equal to P(A) + P(B) – P(A B)
(d) All of the above
28.The two events A and B have probabilities 0.25 and 0.50 respectively. The
probability that both A and B occur simultaneously is 0.14. Then, the
probability that neither A nor B occurs is
(a) 0.39 (b) 0.25
29.If P(A) =
1
2
, P(B) =
1
3
and P(A B) =
7
12
, then the value of P(A` B`) is
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(a)
7
12
(b)
3
4
(c)
1
4
(d)
1
6
30.The probability that a man will be alive in 20 yr is
3
5
and the probability
that his wife will be alive in 20 yr is
2
3
. Then, the probability that at least
one will be alive in 20 yr, is
(a)
13
15
(b)
7
15
(c)
4
15
(d) None of these
31.If A1 , A2 , ……., An are any n events, then
(a) P(A1  A2  …. An ) = P(A1) +P(A2) + ……+ P(An)
(b) P(A1  A2  ……. An ) > P(A1) +P(A2) + ……+ P(An)
(c) P(A1  A2  ……. An )  P(A1) +P(A2) + ……+ P(An)
(d) None of the above
32.In a class of 125 students 70 passed in Mathematics, 55 in Statistics and 30
in both. The probability that a student selected at random from the class
has passed in only one subject is
(a)
13
25
(b)
3
25
(c)
17
25
(d)
8
25
33.A, B, C are any three events. If P (S) denotes the probability of S
happening, then P(A (B C)) is equal to
(a) P(A) + P(B) + P(C) – P(A B) – P(A C)
(b) P(A) + P(B) + P(C) – P(B) P(C)
(c) P(A B) + P(A C) – P(A B C)
34.If P(A) = 0.25, P(B) = 0.50 and P(A B) = 0.14, then P(A  ) is equal to
(a) 0.61 (b) 0.39
35.If A and B are any two events, then P(   B) is equal to
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(a) P(  ) P( ) (b) 1 – P(A) – P (B)
(c) P(A) +P(B) – P(A B) (d) P(B) – P(A B)
36.In two events P(A B) = 5/6, P(Ac
) = 5/6, P(B) = 2/3, then A and B are
(a) Independent (b) Mutually exclusive
(c) Mutually exhaustive (d) Dependent
37.If A and B are arbitrary events, then
(a) P(A B)  P(A) + P(B) (b) P(A B)  P(A) + P(B)
(c) P(A B) = P(A) + P(B) (d) None of the above
38.A random variable X has the probability distribution
X 1 2 3 4 5 6 7 8
P(X) 0.15 0.23 0.12 0.10 0.20 0.08 0.07 0.05
For the events E = {X is prime number} and F = {X < 4}, the probability of
P(E F) is
(a) 0.50 (b) 0.77
(c) 0.35 (d) 0.87
39.If P(A) = P(B) = x and P(A B) = P(A` B`) =
1
3
, then x is equal to
(a)
1
2
(b)
1
3
(c)
1
4
(d)
1
6
40.Let A and B be two events such that ( )
P   =
1
6
, P(A B) =
1
4
and P(
 ) =
1
4
, where  stands for complement of event A. Then, events A and
B are
(a) Independent but not equally likely
(b) Mutually exclusive and independent
(c) Equally likely and mutually exclusive
(d) Equally likely but not independent
41.Let A and B are two events and P(A`) = 0.3, P(B) = 0.4, P(A  B`) = 0.5,
then P(A B`) is
(a) 0.5 (b) 0.8
(c) 1 (d) 0.1
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42.Two dice are thrown. What is the probability that the sum of the numbers
appearing on the two dice is 11, if 5 appears on the first ?
(a)
1
36
(b)
1
6
(c)
5
6
(d) None of these
43.If A and B are two events such that A  B, then P
B
A
 
 
 
is equal to
(a) 0 (b) 1
(c)
1
2
(d)
1
3
44.If E and F are independent events such that 0 < P(E) < 1 and 0 < P(F) < 1,
then
(a) E and Fc
(the complement of the event F) are independent
(b) Ec
and Fc
are independent
(c)
E
P
F
 
 
 
+
c
c
E
P
F
 
 
 
= 1
45.If 4P(A) = 6P(B) = 10P(A B) = 1, then P
B
A
 
 
 
is equal to
(a)
2
5
(b)
3
5
(c)
7
10
(d)
19
60
46.For a biased die, the probabilities for different faces to turn are
Face 1 2 3 4 5 6
Probability 0.2 0.22 0.11 0.25 0.05 0.17
The die is tossed and you are told that either face 4 or face 5 has turned
up. The probability that it is face 4 is
(a)
1
6
(b)
1
4
(c)
5
6
(d) None of these
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47.Three coins are tossed. If one of them shows tail, then the probability that
all three coins show tail, is
(a)
1
7
(b)
1
8
(c)
2
7
(d)
1
6
48.For two events A and B, if P(A) P
A
B
 
 
 
=
1
4
and P
B
A
 
 
 
=
1
2
, then
(a) A and B are independent
(b) P
`
A
B
 
 
 
=
3
4
(c) P
`
`
B
A
 
 
 
=
1
2
49.A biased die is tossed and the respective probabilities for various faces to
turn up are given below
Face 1 2 3 4 5 6
Probability 0.1 0.24 0.19 0.18 0.15 0.14
If an even face has turned up, then the probability that it is face 2 or
face 4, is
(a) 0.25 (b) 0.42
(c) 0.75 (d) 0.9
50.A letter is known to have come either from LONDON or CLIFTON; on
the postmark only the two consecutive letters ON are legible. The
probability that it came from LONDON is
(a)
5
17
(b)
12
17
(c)
17
30
(d)
3
5
51.Let 0 < P(A) < 1, 0 < P(B) < 1 and P(A B) = P(A) + P(B) – P(A) P(B).
Then
(a) P(B / A) = P(B) – P(A) (b) P(Ac
 Bc
) = P(Ac
) + P(Bc
)
(c) P(A B)c
= P(Ac
) P(Bc
) (d) P(A / B) = P(A)
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52.In a entrance test there are multiple choice questions. There are four
possible answers to each question of which one is correct. The probability
that a student knows the answer to a question is 90%. If he gets the correct
answer to a question, then the probability that he was guessing, is
(a)
37
40
(b)
1
37
(c)
36
37
(d)
1
9
53.A and B are two events such that P(A) = 0.8, P(B) = 0.6 and P(A  B) = 0.5,
then the value of P(A / B) is
(a)
5
6
(b)
5
8
(c)
9
10
(d)
2
3
54.If  and F are the complementary events of events E and F respectively
and if 0 < P(F) < 1, then,
(a) P(E / F) + P(  / F) = 1 (b) P(E / F) + P(E / F ) = 1
(c) P(  / F) + P(E / F ) = 1 (d) P(E / F ) + P(  / F ) = 1
55.Two cards are drawn one by one from a pack of cards. The probability of
getting first card an ace and second a coloured one is (before drawing
second card first card is not placed again in the pack)
(a)
1
26
(b)
5
52
(c)
5
221
(d)
4
13
56.One ticket is selected at random from 100 tickets numbered 00, 01, 02,
……, 98, 99. If X and Y denote the sum and the product of the digits on the
tickets, then P(X = 9 / Y = 0) equals
(a)
1
19
(b)
2
19
(c)
3
19
(d)
4
19
57.Bag A contains 4 green and 3 red balls and bag B contains 4 red and 3
green balls. One bag is taken at random and a ball is drawn and noted it is
green. The probability that it comes bag B
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(a)
2
7
(b)
2
3
(c)
3
7
(d)
1
3
58.8 coins are tossed simultaneously. The probability of getting at least 6
heads is
(a)
57
64
(b)
229
256
(c)
7
64
(d)
37
256
59.If the probability that a student is not a swimmer is 1/5, then the
probability that out of 5 students one is swimmer is
(a) 5
C1
4
4
5
 
 
 
1
5
 
 
 
(b) 5
C1
4
5
4
1
5
 
 
 
(c)
4
5
4
1
5
 
 
 
(d) None of these
60.A fair coin is tossed n times. If the probability that head occurs 6 times is
equal to the probability that head occurs 8 times, then n is equal to
(a) 15 (b) 14
(c) 12 (d) 7
61.If a dice is thrown 7 times, then the probability of obtaining 5 exactly 4
times is
(a) 7
C4
4 3
1 5
6 6
   
   
   
(b) 7
C4
3 4
1 5
6 6
   
   
   
(c)
4 3
1 5
6 6
   
   
   
(d)
3 4
1 5
6 6
   
   
   
62.If a dice is thrown 5 times, then the probability of getting 6 exact three
times, is
(a)
125
388
(b)
125
3888
(c)
625
23328
(d)
250
2332
63.The binomial distribution for which mean = 6 and variance = 2, is
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(a)
6
2 1
3 3
 

 
 
(b)
7
2 1
3 3
 

 
 
(c)
5
1 2
3 3
 

 
 
(d)
9
1 2
3 3
 

 
 
64.If X follows a binomial distribution with parameters n = 6 and p. If 9P(X =
4) = P(X = 2), then p is equal to
(a)
1
3
(b)
1
2
(c)
1
4
(d) 1
65.The probability that a man can hit a target is
3
4
. He tries 5 times. The
probability that he will hit the target at least three times is
(a)
291
364
(b)
371
464
(c)
471
502
(d)
459
512
66.A fair coin is tossed a fixed number of times. If the probability of getting 7
heads is equal to that of getting 9 heads, then the probability of getting 3
heads is
(a) 12
35
2
(b) 14
35
2
(c) 12
7
2
(d) None of these
67.A contest consists of predicting the results win, draw or defeat of 7 football
matches. A sent his entry by predicting at random. The probability that
his entry will contain exactly 4 correct predictions is
(a) 7
8
3
(b) 7
16
3
(c) 7
280
3
(d) 7
560
3
68.If there are n independent trials, p and q the probability of success and
failure respectively, then probability of exactly r successes
OR
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Let p be probability of happening an event and q its failure, then the total
chance of r successes in n trials is
(a) n
Cn + r pr
qn – r
(b) n
Cr pr - 1
qn + r
(c) n
Cr qn – r
pr
(d) n
Cr pr + 1
qr – 1
69.A die is tossed thrice. A success is getting 1 or 6 on a toss. The mean and
the variance of number of successes
(a)  = 1, 2
 = 2 / 3 (b)  = 2 / 3, 2
 = 1
(c)  = 2, 2
 = 2 / 3 (d) None of these
70.If X follows a binomial distribution with parameters n = 6 and p and
4{P(X = 4) } = P(X = 2), then p is equal to
(a)
1
2
(b)
1
4
(c)
1
6
(d)
1
3
71.The value of C for P(X = k) = Ck2
can serve as the probability function of a
random variable X that takes 0, 1, 2, 3, 4 is
(a)
1
30
(b)
1
10
(c)
1
3
(d)
1
15
72.In a bag there are three tickets numbered 1, 2, 3. A ticket is drawn at
random and put back and this is done four times. The probability that the
sum of the numbers is even, is
(a)
41
81
(b)
39
81
(c)
40
81
(d) None of these
73.In tossing 10 coins, the probability of getting exactly 5 heads is
(a)
9
128
(b)
63
256
(c)
1
2
(d)
193
256
74.The probability that a bulb produced by a factory will fuse after 150 days
of use is 0.05. What is the probability that out of 5 such bulbs none will
fuse after 150 days of use ?
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(a)
5
19
1
20
 
  
 
(b)
5
19
20
 
 
 
(c)
5
3
4
 
 
 
(d)
5
1
90
4
 
 
 
75.A dice is thrown 5 times, then the probability that an even number will
come up exactly 3 times, is
(a)
5
16
(b)
1
2
(c)
3
16
(d)
3
2
76.The records of a hospital show that 10% of the cases of a certain disease
are fatal. If 6 patients are suffering from the disease, then the probability
that only three will die is
(a) 1458 X 10-5
(b) 1458 X 10-6
(c) 41 X 10-6
(d) 8748 X 10-5
77.The probability that a student is not a swimmer is 1/5. What is the
probability that out of 5 students, 4 are swimmers ?
(a) 5
C4
4
4 1
5 5
 
 
 
(b)
4
4 1
5 5
 
 
 
(c) 5
C1
4
1 4
5 5
 
 
 
X 5
C4 (d) None of these
78.A coin is tossed 2n times. The chance that the number of times one gets
head is not equal to the number of times one gets tail is
(a)
2
2
(2 !) 1
( !) 2
n
n
n
 
 
 
(b) 2
(2 !)
1
( !)
n
n

(c) 2
(2 !) 1
1
( !) 4n
n
n
  (d) None of these
79.The mean and variance of a binomial distribution are 4 and 3 respectively,
then the probability of getting exactly six successes in this distribution is
(a) 16
C6
10 6
1 3
4 4
   
   
   
(b) 16
C6
6 10
1 3
4 4
   
   
   
(c) 12
C6
10 6
1 3
4 4
   
   
   
(d) 12
C6
6 6
1 3
4 4
   
   
   
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80.A coin is tossed 3 times. The probability of getting exactly two heads is
(a)
3
8
(b)
1
2
(c)
1
4
(d) None of these
81.A coin is tossed 3 times. The probability of obtaining at least two heads is
OR
Three coins are tossed all together. The probability of getting at least two
heads is
(a)
1
8
(b)
3
8
(c)
1
2
(d)
2
3
82.If E and F are events with P(E)  P(F) and P(E  F) > 0, then
(a) Occurrence of E  occurrence of F
(b) Occurrence of F  occurrence of E
(c) Non-occurrence of E  non-occurrence of F
(d) None of the above implications holds
83.An anti-aircraft gun take a maximum of four shots at an enemy plane
moving away from it. The probability of hitting the plane at the first,
second, third and fourth shot are 0.4, 0.3, 0.2 and 0.1 respectively. The
probability that the gun hits the plane is
(a) 0.25 (b) 0.21
(c) 0.16 (d) 0.6976
84.If (1 + 3p) / 3, (1 – p) / 4 and (1 – 2p) / 2 are the probabilities of three
mutually exclusive events, then the set of all values of p is
(a)
1 1
3 2
p
  (b)
1 1
3 2
p
 
(c)
1 2
2 3
p
  (d)
1 2
2 3
p
 
85.If P(A) = 0.3, P(B) = 0.4, P(C) = 0.8, P(AB) = 0.08, P(AC) = 0.28, P(ABC) =
0.09, P(A + B + C)  0.75 and P(BC) = x, then
(a) 0.23  x  0.48 (b) 0. 32  x  0. 84
(c) 0.25  x  0.73 (d) None of these
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86.If the integers m and n are chosen at random between 1 and 100, then the
probability that a number of the form 7m
+ 7m
is divisible by 5 equals
(a)
1
4
(b)
1
7
(c)
1
8
(d)
1
49
87.There are four machines and it is known that exactly two of them are
faulty. They are tested, one by one, is a random order till both the faulty
machines are identified. Then, the probability that only two tests are
needed is
(a)
1
3
(b)
1
6
(c)
1
2
(d)
1
4
88.Cards are drawn one by at random from a well shuffled full pack of 52
cards until two aces are obtained for the first time. If N is the number of
cards required to be drawn, then Pr {N = n}, where 2  n  50, is
(a)
( 1)(52 )(51 )
50 49 17 13
n n n
  
  
(b)
2( 1)(52 )(51 )
50 49 17 13
n n n
  
  
(c)
3( 1)(52 )(51 )
50 49 17 13
n n n
  
  
(d)
4( 1)(52 )(51 )
50 49 17 13
n n n
  
  
89.If A and B are two events, then the probability of the event that at most
one of A, B occurs, is
(a) P(A` B) + P(A  B`) + P(A` B`)
(b) 1 – P(A  B)
(c) P(A`) + P(B`) + P(A  B) – 1
90.For any two events A and B in a sample space
(a)
( ) ( ) 1
( )
A P A P B
P
B P B
 
 

 
 
P(B)  0 is always true
(b) P(A  ) = P(A) – P(A B) does not hold
(c) P(A B) = 1 – P(  ) P( ), if A and B are disjoint
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91.Urn A contains 6 red and 4 black balls and urn B contains 4 red and 6
black balls. One ball is drawn at random from urn A and placed in urn B.
Then, one ball is drawn at random from urn B and placed in urn A. If one
ball is now drawn at random from urn A, the probability that it is found to
be red, is
(a)
32
55
(b)
21
55
(c)
19
55
(d) None of these
92.The probability that a leap year selected at random contains either 53
Sundays or 53 Mondays, is
(a)
2
7
(b)
4
7
(c)
3
7
(d)
1
7
93.The probabilities that a student passes in Mathematics, Physics and
Chemistry are m, p and c respectively. On these subjects, the student has a
75% chance of passing in at least one, 50% chance of passing in at least
two and a 40% chance of passing in exactly two. Which of following
relations are true ?
(a) p + m + c =
19
20
(b) p + m + c =
27
20
(c) pmc =
1
10
(d) pmc =
1
4
94.One bag contains 5 white and 4 black balls. Another bag contains 7 white
and 9 black balls A ball is transferred from the first bag to the second and
then a ball is drawn from second. The probability that the ball is white, is
(a)
8
17
(b)
40
153
(c)
5
9
(d)
4
9
95.Two numbers are selected at random from the numbers 1, 2, ….., n. The
probability that the difference between the first and second is not less than
m (where 0 < m < n), is
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(a)
( )( 1)
( 1)
n m n m
n
  

(b)
( )( 1)
2
n m n m
n
  
(c)
( )( 1)
2 ( 1)
n m n m
n n
  

(d)
( )( 1)
2 ( 1)
n m n m
n n
  

96.Three groups A, B, C are competing for positions on the Board of
Directors of a company. The probabilities of their winning are 0.5, 0.3, 0.2
respectively. If the group A wins, the probability of introducing a new
product is 0.7 and the corresponding probabilities for group B and C are
0.6 and 0.5 respectively. The probability that the new product will be
introduced, is
(a) 0.18 (b) 0.35
(c) 0.10 (d) 0.63
97.Consider two events A and B such that P(A) =
1
4
, P

 
 

 
=
1
2
, P

 
 

 
=
1
4
. For each of the following statements, which is true ?
I. P(Ac
/ Bc
) =
3
4
II. The events A and B are mutually exclusive.
III. P(A / B) + P(A / Bc
) = 1
(a) I only (b) I and II
(c) I and III (d) II and III
98.An unbiased die with faces marked 1, 2, 3, 4, 5 and 6 is rolled four times.
Out of four face values obtained the probability that the minimum face
value is not less than 2 and the maximum face value is not greater than 5,
is
(a)
16
81
(b)
1
81
(c)
80
81
(d)
65
81
99.India plays two matches each with West Indies and Australia. In any
match the probabilities of India getting point 0, 1 and 2 are 0.45, 0.05 and
0.50 respectively. Assuming that the outcomes are independents, the
probability of India getting at least 7 points is
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(a) 0.8750 (b) 0.0875
(c) 0.0625 (d) 0.0250
100. In binomial probability distribution, mean is 3 and standard deviation
is
3
2
. Then, the probability distribution is
(a)
12
3 1
4 4
 

 
 
(b)
11
1 3
4 4
 

 
 
(c)
9
1 3
4 4
 

 
 
(d)
10
3 1
4 4
 

 
 
ANSWER
1. D 17. C 33. C 49. C 65. D 81. C 97. A
2. C 18. D 34. D 50. B 66. A 82. D 98. A
3. B 19. D 35. D 51. C,D 67. C 83. D 99 B
4. A 20. C 36. B 52. B 68. C 84. A 100. A
5. C 21. A 37. B 53. A 69. A 85. D
6. D 22. D 38. B 54. A,D 70. D 86. A
7. C 23. C 39. A 55. C 71. A 87. B
8. A 24. A 40. A 56. B 72. A 88. A
9. C 25. B 41. B 57. C 73. B 89. D
10. B 26. A 42. B 58. D 74. B 90. A
11. B 27. D 43. B 59. B 75. A 91. A
12. D 28. A 44. D 60. B 76. A 92. C
13. C 29. B 45. A 61. A 77. A 93. B,C
14. B 30. A 46. C 62. B 78. C 94. D
15. A 31. C 47. A 63. D 79 B 95. D
16. B 32. A 48. D 64. C 80. A 96 D
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