992 + Mcqs in Probability in General Aptitude Page 18 McqOptions

851.	If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels?
A.	1/6
B.	1/2
C.	1/3
D.	1/4
Answer» B. 1/2

Discussion

852.	The probability that a card drawn at random from the pack of playing cards may be either a queen or an ace is:
A.	9/13
B.	11/13
C.	2/13
D.	None of these
Answer» D. None of these

Discussion

853.	What is the probability that a couple with four children have atleast one girl?
A.	0.0625
B.	0.9375
C.	0.5
D.	0.0257
Answer» C. 0.5

Discussion

854.	What is the probability that a leap year selected at random, will contain 53 sundays?
A.	1/7
B.	1/3
C.	2/7
D.	4/7
Answer» D. 4/7

Discussion

855.	Three dice are thrown together.Find the probability of getting a total of atleast 6.
A.	103/216
B.	103/108
C.	103/36
D.	36/103
Answer» C. 103/36

Discussion

856.	One card is drawn from a pack of 52 cards,each of the 52 cards being equally likely to be drawn.Find the probability that the ball drawn is an ace
A.	1/13
B.	1/12
C.	1/14
D.	1/15
Answer» B. 1/12

Discussion

857.	Four persons are to be choosen from a group of 3 men, 2 women and 4 children. Find the probability of selecting 1 man,1 woman and 2 children.
A.	2/7
B.	3/7
C.	4/7
D.	3/7
Answer» B. 3/7

Discussion

858.	Find the probability of selecting exactly 2 children when four persons are choosen at random from a group of 3 men, 2 woman and 4 children.
A.	9/29
B.	10/21
C.	12/21
D.	14/19
Answer» C. 12/21

Discussion

859.	A word consists of 9 letters; 5 consonants and 4 vowels.Three letters are choosen at random. What is the probability that more than one vowel will be selected ?
A.	13/42
B.	17/42
C.	5/42
D.	3/14
Answer» C. 5/42

Discussion

860.	Find the probability of selecting 2 woman when four persons are choosen at random from a group of 3 men, 2 woman and 4 children
A.	1/5
B.	1/7
C.	1/6
D.	1/9
Answer» D. 1/9

Discussion

861.	A bag contains 50 tickets numbered 1,2,3,4......50 of which five are drawn at random and arranged in ascending order of magnitude.Find the probability that third drawn ticket is equal to 30.
A.	551/15134
B.	1/2
C.	552/15379
D.	1/9
Answer» B. 1/2

Discussion

862.	A box contains 10 bulbs,of which just three are defective. If a random sample of five bulbs is drawn, find the probability that the sample contains exactly one defective bulb.
A.	5/12
B.	7/12
C.	3/14
D.	1/12
Answer» B. 7/12

Discussion

863.	If a box contains 10 bulbs,of which just three are defective. If a random sample of five bulbs is drawn, find the probability that the sample contains no defective bulbs.
A.	5/12
B.	7/12
C.	3/14
D.	1/12
Answer» E.

Discussion

864.	One card is drawn from deck of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the ball drawn is red.
A.	1/3
B.	1/2
C.	1/4
D.	1/6
Answer» C. 1/4

Discussion

865.	Find the probability that one ball is white when two balls are drawn at random from a basket that contains 9 red, 7 white and 4 black balls.
A.	18/95
B.	18/190
C.	1/2
D.	91/190
Answer» E.

Discussion

866.	In a throw of a coin, find the probability of getting a head.
A.	1
B.	1/2
C.	1/4
D.	0.1
Answer» C. 1/4

Discussion

867.	Two unbiased coin are tossed. What is the probability of getting atmost one head?
A.	1/2
B.	3/2
C.	1/6
D.	3/4
Answer» E.

Discussion

868.	An unbiased die is tossed.Find the probability of getting a multiple of 3.
A.	1/3
B.	1/2
C.	3/4
D.	3/2
Answer» B. 1/2

Discussion

869.	In a simultaneous throw of pair of dice. Find the probability of getting the total more than 7.
A.	1/2
B.	5/12
C.	7/15
D.	3/12
Answer» C. 7/15

Discussion

870.	A bag contains 6 white and 4 black balls .2 balls are drawn at random. Find the probability that they are of same colour.
A.	1/2
B.	7/15
C.	8/15
D.	1/9
Answer» C. 8/15

Discussion

871.	Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6.
A.	7/18
B.	14/35
C.	8/18
D.	7/35
Answer» B. 14/35

Discussion

872.	Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen?
A.	52/221
B.	55/190
C.	55/221
D.	19/221
Answer» D. 19/221

Discussion

873.	Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is :
A.	2/9
B.	1/9
C.	8/9
D.	7/9
Answer» C. 8/9

Discussion

874.	A number X is chosen at random from the numbers -3, -2, -1, 0, 1, 2, 3. What is the probability that \|X\|<2
A.	3/7
B.	3/4
C.	4/5
D.	5/7
Answer» B. 3/4

Discussion

875.	Two brother X and Y appeared for an exam. The probability of selection of X is 1/7 and that of B is 2/9. Find the probability that both of them are selected.
A.	1/63
B.	1/14
C.	2/63
D.	1/9
Answer» D. 1/9

Discussion

876.	Four dice are thrown simultaneously. Find the probability that all of them show the same face.
A.	1/216
B.	1/36
C.	2/216
D.	4/216
Answer» B. 1/36

Discussion

877.	A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. What is the probability that first is white and second is black?
A.	6/145
B.	36/145
C.	18/95
D.	12/145
Answer» C. 18/95

Discussion

878.	A card is drawn from a pack of 52 cards. The card is drawn at random. What is the probability that it is neither a spade nor a Jack?
A.	9/13
B.	4/13
C.	10/13
D.	8/13
Answer» B. 4/13

Discussion

879.	There are four hotels in a town. If 3 men check into the hotels in a day then what is the probability that each checks into a different hotel?
A.	1/2
B.	3/4
C.	4/7
D.	3/8
Answer» E.

Discussion

880.	If x is chosen at random from the set {1,2,3,4} and y is to be chosen at random from the set {5,6,7}, what is the probability that xy will be even?
A.	1/2
B.	2/3
C.	3/4
D.	4/3
Answer» C. 3/4

Discussion

881.	A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd?
A.	1/6
B.	1/3
C.	1/2
D.	1/4
Answer» D. 1/4

Discussion

882.	In a race, the odd favour of cars P,Q,R,S are 1:3, 1:4, 1:5 and 1:6 respectively. Find the probability that one of them wins the race.
A.	319/420
B.	27/111
C.	114/121
D.	231/420
Answer» B. 27/111

Discussion

883.	From a pack of 52 cards, 3 cards are drawn. What is the probability that one is ace, one is queen and one is jack?
A.	19/5525
B.	16/5525
C.	17/5525
D.	7/5525
Answer» C. 17/5525

Discussion

884.	Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.
A.	19/34
B.	5/4
C.	20/34
D.	25/34
Answer» E.

Discussion

885.	A bag contains 7 green and 5 black balls. Three balls are drawn one after the other. The probability of all three balls being green, if the balls drawn are not replaced will be:
A.	123/897
B.	23/67
C.	7/44
D.	12/45
Answer» D. 12/45

Discussion

886.	You toss a coin AND roll a die. What is the probability of getting a tail and a 4 on the die?
A.	1/2
B.	1/12
C.	2/3
D.	3/4
Answer» C. 2/3

Discussion

887.	The probability of success of three students X, Y and Z in the one examination are 1/5, 1/4 and 1/3 respectively. Find the probability of success of at least two.
A.	1/4
B.	1/2
C.	1/6
D.	1/3
Answer» D. 1/3

Discussion

888.	Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a club and other in King
A.	1/52
B.	1/26
C.	1/13
D.	1/2
Answer» C. 1/13

Discussion

889.	In a charity show tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random (blindly) will have a number with a hundredth digit of 2?
A.	0.25
B.	0.5
C.	0.75
D.	0.40
Answer» E.

Discussion

890.	What is the probability of getting at least one six in a single throw of three unbiased dice?
A.	1/36
B.	91/256
C.	13/256
D.	43/256
Answer» C. 13/256

Discussion

891.	A six-sided die with faces numbered 1 through 6 is rolled three times. What is the probability that the face with the number 6 on it will not face upward on all the three rolls?
A.	215/216
B.	1/216
C.	215/256
D.	1/52
Answer» B. 1/216

Discussion

892.	A brother and a sister appear for an interview against two vacant posts in an office. The probability of the brother’s selection is 1/5 and that of the sister’s selection is 1/3. What is the probability that only one of them is selected?
A.	1/5
B.	3/4
C.	2/5
D.	3/5
Answer» D. 3/5

Discussion

893.	A coin is tossed 5 times. What is the probability that head appears an odd number of times?
A.	1/2
B.	1/3
C.	2/3
D.	1
Answer» B. 1/3

Discussion

894.	Course materials are sent to students by a distance teaching institution. The probability that they will send a wrong programme’s study material is 1/5. There is a probability of 3/4 that the package is damaged in transit, and there is a probability of 1/3 that there is a short shipment. What is the probability that the complete material for the course arrives without any damage in transit?
A.	4/5
B.	2/3
C.	1/2
D.	2/15
Answer» E.

Discussion

895.	A three-digit number is formed with the digits 1, 2, 3, 4, 5 at random. What is probability that number formed is divisible by 5 ?
A.	1/4
B.	1/5
C.	1/2
D.	3/4
Answer» C. 1/2

Discussion

896.	The odds favouring the event of a person hitting a target are 3 to 5. The odds against the event of another person hitting the target are 3 to 2. If each of them fire once at the target, find the probability that both of them hit the target
A.	1/20
B.	4/20
C.	1/20
D.	3/20
Answer» E.

Discussion

897.	The probabilities that drivers A, B and C will drive home safely after consuming liquor are 2 / 5, 3 / 7 and 3 / 4, respectively. What is the probability that they will drive home safely after consuming liquor ?
A.	3/70
B.	4/70
C.	9/70
D.	1/50
Answer» D. 1/50

Discussion

898.	The probabilities that A and B will tell the truth are 2 / 3 and 4 / 5 respectively . What is the probability that they agree with each other ?
A.	3/5
B.	1/3
C.	2/5
D.	3/4
Answer» B. 1/3

Discussion

899.	A number is selected at random from the numbers 1 to 30. What is the probability that it is divisible by either 3 or 7 ?
A.	1/30
B.	2/30
C.	1/25
D.	1/2
Answer» B. 2/30

Discussion

900.	A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?
A.	2/7
B.	1/7
C.	3/4
D.	4/5
Answer» B. 1/7

Discussion

Explore topic-wise MCQs in General Aptitude.

If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels?

The probability that a card drawn at random from the pack of playing cards may be either a queen or an ace is:

What is the probability that a couple with four children have atleast one girl?

What is the probability that a leap year selected at random, will contain 53 sundays?

Three dice are thrown together.Find the probability of getting a total of atleast 6.

One card is drawn from a pack of 52 cards,each of the 52 cards being equally likely to be drawn.Find the probability that the ball drawn is an ace

Four persons are to be choosen from a group of 3 men, 2 women and 4 children. Find the probability of selecting 1 man,1 woman and 2 children.

Find the probability of selecting exactly 2 children when four persons are choosen at random from a group of 3 men, 2 woman and 4 children.

A word consists of 9 letters; 5 consonants and 4 vowels.Three letters are choosen at random. What is the probability that more than one vowel will be selected ?

Find the probability of selecting 2 woman when four persons are choosen at random from a group of 3 men, 2 woman and 4 children

A bag contains 50 tickets numbered 1,2,3,4......50 of which five are drawn at random and arranged in ascending order of magnitude.Find the probability that third drawn ticket is equal to 30.

A box contains 10 bulbs,of which just three are defective. If a random sample of five bulbs is drawn, find the probability that the sample contains exactly one defective bulb.

If a box contains 10 bulbs,of which just three are defective. If a random sample of five bulbs is drawn, find the probability that the sample contains no defective bulbs.

One card is drawn from deck of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the ball drawn is red.

Find the probability that one ball is white when two balls are drawn at random from a basket that contains 9 red, 7 white and 4 black balls.

In a throw of a coin, find the probability of getting a head.

Two unbiased coin are tossed. What is the probability of getting atmost one head?

An unbiased die is tossed.Find the probability of getting a multiple of 3.

In a simultaneous throw of pair of dice. Find the probability of getting the total more than 7.

A bag contains 6 white and 4 black balls .2 balls are drawn at random. Find the probability that they are of same colour.

Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6.

Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen?

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is :

A number X is chosen at random from the numbers -3, -2, -1, 0, 1, 2, 3. What is the probability that |X|<2

Two brother X and Y appeared for an exam. The probability of selection of X is 1/7 and that of B is 2/9. Find the probability that both of them are selected.

Four dice are thrown simultaneously. Find the probability that all of them show the same face.

A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. What is the probability that first is white and second is black?

A card is drawn from a pack of 52 cards. The card is drawn at random. What is the probability that it is neither a spade nor a Jack?

There are four hotels in a town. If 3 men check into the hotels in a day then what is the probability that each checks into a different hotel?

If x is chosen at random from the set {1,2,3,4} and y is to be chosen at random from the set {5,6,7}, what is the probability that xy will be even?

A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd?

In a race, the odd favour of cars P,Q,R,S are 1:3, 1:4, 1:5 and 1:6 respectively. Find the probability that one of them wins the race.

From a pack of 52 cards, 3 cards are drawn. What is the probability that one is ace, one is queen and one is jack?

Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.

A bag contains 7 green and 5 black balls. Three balls are drawn one after the other. The probability of all three balls being green, if the balls drawn are not replaced will be:

You toss a coin AND roll a die. What is the probability of getting a tail and a 4 on the die?

The probability of success of three students X, Y and Z in the one examination are 1/5, 1/4 and 1/3 respectively. Find the probability of success of at least two.

Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a club and other in King

In a charity show tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random (blindly) will have a number with a hundredth digit of 2?

What is the probability of getting at least one six in a single throw of three unbiased dice?

A six-sided die with faces numbered 1 through 6 is rolled three times. What is the probability that the face with the number 6 on it will not face upward on all the three rolls?

A brother and a sister appear for an interview against two vacant posts in an office. The probability of the brother’s selection is 1/5 and that of the sister’s selection is 1/3. What is the probability that only one of them is selected?

A coin is tossed 5 times. What is the probability that head appears an odd number of times?

A three-digit number is formed with the digits 1, 2, 3, 4, 5 at random. What is probability that number formed is divisible by 5 ?

The odds favouring the event of a person hitting a target are 3 to 5. The odds against the event of another person hitting the target are 3 to 2. If each of them fire once at the target, find the probability that both of them hit the target

The probabilities that drivers A, B and C will drive home safely after consuming liquor are 2 / 5, 3 / 7 and 3 / 4, respectively. What is the probability that they will drive home safely after consuming liquor ?

The probabilities that A and B will tell the truth are 2 / 3 and 4 / 5 respectively . What is the probability that they agree with each other ?

A number is selected at random from the numbers 1 to 30. What is the probability that it is divisible by either 3 or 7 ?

A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?