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APTITUDE QUESTIONS ARITHMETIC PROBABILITY
Posted Date: 04 Jul 2008 Resource Type: Articles/Knowledge Sharing Category: Placement Papers
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Posted By: sunil Member Level: Diamond
Rating:  Points: 2
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PROBABILITY
1.The probability that a digit chosen at random from {1,2,3,4,5,6,7,8,9} will be multiple
of 3 is
a)1/3 b)2/3 c)3/4 d)5/9
2.The probability of throwing a total of 3 when two dice are thrown is
a)1/36 b)1/18 c)5/36 d)35/36
3.If two cards are drawn are at random from a well shuffled pack , the probability that
both are queens is
a)3/221 b)1/221 c)1/17 d)4/17
4.A committee of three is to be chosen from a group of 3 men and 4 women.The probability
of all the three being women is
a)4/35 b)3/35 c)31/35 d)34/35
5.If 5 students are seated at random in a row,the probability that two particular students
are not seated side by side is
a)13/120 b)119/120 c)3/5 d)4/5
6.There are 25 bulbs,out of which 2 are fused.If 2 bulbs are drawn at random the probability
of drawung one good and one fused bulb is
a)7/13 b)5/13 c)23/150 d)7/15
7.A puzzle in logic was given to 3 students A,B and C whose chances of solving i are 1/2,3/4
and 1/4 respectively.The probability that the problem is solved is..
a)29/32 b)31/32 c)1/8 d)7/8
8.A die has 2 of its sides painted pink,2 blue and 2 green.If the die is rolled twice the
probability that same colour appears both the times is
a)1/3 b)2/3 c)7/9 d)8/9
9.If the card is drawn at random from a pack,the probability that it is a jack is
a)1/52 b)1/26 c)3/26 d)1/13
10.The chance that a leap year has 53 tuesdays is
a)2/13 b)3/7 c)2/7 d)1/8
11.The odds against an event A are 3 to 2 while the odds in favor of another independent event
B are 2 to 5.Then the probability that atleast one of them would happen is
a)5/7 b)2/7 c)4/7 d)3/7
12.The probability of throwing 22 or more with a throw of 4 dice is
a)5/432 b)431/432 c)3/432 d)427/432
Directions for questions 13 to 17: A house wife buys a dozen eggs of which two turn out to be
bad.If she chooses 4 eggs at random from the dozen to scramble for breakfast,the probability
that she chooses
13.all good eggs is
a)1/33 b)14/33 c)13/33 d)1/11
14.three good eggs and one bad egg is
a)16/33 b)1/11 c)19/33 d)10/11
15.two good eggs and two bad eggs is
a)17/33 b)16/33 c)3/11 d)1/11
16.atleast one bad egg is
a)13/22 b)4/11 c)19/33 d)3/11
17.atleast one good egg is
a)13/22 b)1 c)11/33 d)14/33
18.If three balls are drawn at random from a bag containing 4 red and 7 green balls,the odds in
favour of all being red is
a)12:13 b)4:161 c)161:4 d)3:121
19.The probability that a number selected at random from the first 10 natural numbers is prime,is
a)3/5 b)3/10 c)7/10 d)2/5
20.The probability of getting exactly 2 heads when 2 coins are tossed is
a)1/2 b)1/4 c)3/4 d)1/3
21.The probability of getting atleast one head when 4 fair coins are tossed is
a)1/16 b)15/16 c)3/16 d)7/16
22.The probability of getting atleast one head,where a loaded coin is tossd twice(given that
head occurs twice as often as tails) is
a)7/9 b)8/9 c)4/9 d)2/9
23.The odds,against the ocurance of a head when a loaded coin is tosed are 3:5.The probability of
getting a tail when the coin is tossed is
a)3/8 b)5/8 c)3/2 d)5/2
24.If 4 coins are tossed,the probability of getting 2heads and 2 tails is
a)3/8 b)6/11 c)2/5 d)4/5
25.If A and B are two mutually exclusive events such that P(A)=5 P(B),then P(AUB):P(B)=
a)6:1 b)5:6 c)6:11 d)5:11
26.if P(A) = p and P(B)=q,then P(A`UB`)(when A and B is independent) is
a)pq b)(1-p)(1-q) c)1-pq d)none
27.If P(A) = 1/4,P(B)=2/5 and P(AUB) = 1/2, then P(A intersection B) is
a)0.15 b)0.10 c)0.12 d)0.32
28.If P(A) = 0.75 and B is an event which is mutually exclusive with A,P(A intersection B)=
a)0.25 b)0.35 c)0.81 d)none
29.A bag contains 7 green and 8 white balls.If two balls are drawn simutaneously,the probability
that both are of the same colour is
a)8/15 b)7/15 c)3/5 d)8/15
30.If 3 dice are thrown, the probability of getting an even number on each die is
a)4/9 b)3/4 c)3/16 d)1/8
31.Two dice are rolled.The probability of getting a sum of atleast 9 is
a)13/36 b)5/18 c)35/36 d)11/36
32.The odds against Arun solving a problem are 5:7 and the odds in favor of Prashant solving
the same problem are 4:3.The probability that only one of them can solve the problem is
a)13/84 b)41/84 c)17/84 d)23/84
33.If a card is drawn from a well shuffled pack of cards,the kprobability of drawing a spade
or a king is
a)19/52 b)17/52 c)5/13 d)4/13
34.Out of first 20 natural numbers,one number is picked at random.The probability that it is
wither an even number or a prime number is
a)1/2 b)16/19 c)4/5 d)17/20
35.A bag has 10 bulbs of which 3 are defective.If three bulbs are drawn in succession without
replacement,the prabability of all the three being defective is
a)(3/10)^3 b)1/120 c)1/80 d)7/120
36. If P(Aintersection B) = 0.2,P(A)=0.5 and P(AUB) = 0.7then P(B`)=
a)0.4 b)0.8 c)0.6 d)0.3
37.In a single throw with two dice,the probability of throwing the sum less than 11 is
a)11/12 b)35/36 c)31/36 d)3/4
38.If two cards are drawn at random from a well shuffled pack,the probability that both are
king is
a)1/221 b)13/17 c)51/52 d)5/52
39.If six persons sit around a table, the probability that some specified three of them are
always together is
a)1/20 b)3/10 c)1/5 d)4/5
40.Arun speaks truth in 70% of cases while Bhargav speaks truth in 65% of cases.The probability
that they will contradict each other on starting the same fact is
a)0.44 b)0.72 c)0.47 d)0.86
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