1.
A cricket club has 30 members of which only 10 can bowl. If the names of 30 members are put into a
box and 25 names are drawn at random, then the probability of obtaining 25 members team containing
exactly 8 bowlers is:
950/2639
900/2457
1250/2047
1005/2547
2.
A bag contains 5 red, 6 green and 4 blue balls. Two balls are drawn at random. What is the probability
that none of the balls drawn in blue?
6/21
12/21
10/21
11/21
3.
The probability that a number selected at random. From the set of numbers { 1,2,3,4............... 200} is a
cube is:
7/50
3/40
5/50
1/40
4.
A problem in Mathematics is given to 3 students whose chances of solving individuals are 1/3, 1/5 and
1/6. The probability that the problem will be solved atleast by one is: 3/7
4/9
9/8
5/9
7/9
5.
In a class 30% of students offered English, 20% offered Hindi and 10% offered both. If a student is
selected at random, what is the probability that he has offered English or Hindi?
5/2
3/5
2/5
5/3
6.
A bag contains 4 white and 3 black balls. 4 balls are successively drawn out and not replaced. One
probability that they alternately of different color?
25/3
6/35
3/25
35/6
7.
A person writes 4 letters and address on 4 envelops. If the letters are placed in the envelopes at
random, what is the probability that all letters are not placed in the right envelopes?
3/4
4/5
23/24
24/23
8.
Tickets numbered 1 to 30 are mixed up and then a ticket is drawn at random. What is the probability
that the ticket drawn has a number which is multiple of 3?
2/3
7/20
2/7
1/3
9.
2 balls are drawn from basket containing 3 white, 4 red and 6 black balls one by one without
replacement. What is the probability that atleast one ball is red
13/7
7/13
12/7
7/12
10.
In a competition A, B, and C are participation. The probability that A wins is twice that of B. The
probability that B wins is twice that of C. Then the probability that A losses is:
7/5
3/7
7/3
5/7
11.
4 numbers are chosen at random from 1 to 30. The probability that they are consecutive is:
1/1015
5/2521
10/2357
8/2047
12.
Two cards are drawn together from a pack of 52 cards. The probability that one is a picture and on
20/221
8/221
10/221
12/221
13.
A man and his wife appear in an interview for 2 vacancies in the same post. The probability of husband's
selection is (1/7) and the probability of wife's selection is (1/4). What is the probability that one of them
is selected?
28/9
9/28
3/28
28/3
14.
Bag A contains 4 red and 6 black balls and bag B contains 5 red and 4 black balls. One ball is drawn
from bag A and 2 from bag B. Find the probability that out of 3 balls drawn, two are black and one is
red?
2/5
5/2
3/5
5/3
15.
Two cards are drawn at random from a pack of 52 cards. What is the probability that either both are red
or 2 numbers?
66/221
44/221
77/221
55/221
16.
A box contains 4 red, 5 green and 3 white balls. A ball is drawn at random. What is the probability that
the ball drawn is either red or green?
6/7
7/6
4/3
3/4
17.
A person draws out 2 balls successively from a bag containing 8 red and 6 white balls. The probability
that atleast one of them will be red is:
45/91
6!*10!
76/91
91/76
18.
From a pack of 52 cards, two cards are drawn together at random. What is the probability of both five
numbered card?
1/221
2/221
3/221
5/221
19.
A box contains 20 electric bulbs, out of which 4 are defective. 3 are chosen at random from this box.
The probability that atleast one of these is defective, is:
29/57
57/27
27/57
57/29
20.
A bag contains 8 white, 7 red and 10 black balls. 6 balls are drawn one by one with replacement. What is
the probability that atleast one ball is white?
1-(25/17)^6
25!*15!
1-(17/25)^6
none
21.
A bag contains 10 white, 12 red and 8 black balls. If 5 balls are drawn one by one with replacement, what
is the probability that none is white?
(2/5)^5
(5/2)^5
(3/2)^5
(2/3)^5
22.
Out of 20 persons 16 can speak Hindi and 6 can speak English. If two persons are chosen at random,
then the probability that one person speaks Hindi only and other speaks both Hindi and English.
13/95
12/95
16/95
14/95
23.
4 persons are chosen at random from a group of 2 men, 4 women and 3 children. The chance that
exactly two of them are children, is:
5/14
11/21
22/11
11/22
24.
In a class there are 8 boys and 5 girls. 3 students are selected at random. The probability that 2 girl and
1 boys are selected, is:
80/143
40/143
60/143
50/143
25.
A box contains 3 green, 5 yellow and 6 white marbles. Three balls are drawn at random. What is the
probability that they are not of the same color
200/364
153/364
123/364
333/364
26.
A box contains 8 white and 5 red balls. Three balls are drawn at random. What is the probability that
one ball is red and other two are white?
100/143
40/143
50/143
70/143
27.
In a lottery there are 15 prizes and 20 blanks. A lottery is drawn at random. What is the probability of
getting a prize?
7/3
5/7
3/7
6/7
28.
The letters of the word "NUMBER" are arranged in all possible ways. The chance that there are exactly 2
letters between B and E is:
5/7
7/5
1/5
3/5
29.
A combination lock on a suitcase has 3 wheels each labeled with 9 digits from 1 to 9. If an opening
combination is a particular sequence of 3 digits with no repeats, what is the probability of a person
guessing the right combination?
1/504
5/504
7/504
17/504
30.
Four cards are drawn at a time from a pack of 52 cards. What is the probability that all the drawn cards
are of the same color?
13c4 /52c4
2( 26c4)/52c
15c4/52c4
14C4 / 52C4
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