992 + Mcqs in Probability Page 14 McqOptions

651.	A committee of 3 members is to be selected to be selected out of 3 man and 2 women . What is the probability that the committee has at least one women ?
A.	1/10
B.	9/20
C.	9/10
D.	1/20
Answer» D. 1/20

Discussion

652.	A number is selected at random from the set {1, 2, 3, ........, 50}. The probability that it is a prime, is
A.	0.1
B.	0.1
C.	0.3
D.	0.3
Answer» D. 0.3

Discussion

653.	Let E be the set of all integers with 1 at their unit places. The probability that a number chosen from {2, 3, 4, ............, 50} is an element of E, is ?
A.	5/49
B.	4/49
C.	3/49
D.	2/49
Answer» C. 3/49

Discussion

654.	If three unbiased coins are tossed simultaneously, then the probability of exactly two heads, is
A.	1/8
B.	1/8
C.	3/8
D.	4/8
Answer» D. 4/8

Discussion

655.	A card is drawn from a well-shuffled pack of cards. The probability of getting a queen of club or a king of heart is ?
A.	1/52
B.	1/26
C.	1/13
D.	1/39
Answer» C. 1/13

Discussion

656.	What is the probability that a card drawn at random from a pack of 52 cards is either a king or a spade?
A.	17/52
B.	4/13
C.	3/13
D.	13/52
Answer» C. 3/13

Discussion

657.	Four whole number taken at random are multiplied together. The chance that the last digit in the product is 1, 3, 7, or 9 is ?
A.	16/625
B.	1/210
C.	8/125
D.	4/25
Answer» B. 1/210

Discussion

658.	One hundred identical coins each with probability p of showing up head are tossed. If 0 < p < 1 and the probability of heads showing on 50 coins is equals to that of heads on 51 coins. Then the value
A.	1/2
B.	49/101
C.	50/101
D.	51/101
Answer» E.

Discussion

659.	If one rolls a fair sides die twice, what is the probability that the die will land on the same number on both the occasions ?
A.	1/12
B.	1/6
C.	1/24
D.	1/8
Answer» C. 1/24

Discussion

660.	The letters B, G, I, N, R are rearranged to form the word 'BRING'. Find its probability ?
A.	1/120
B.	1/54
C.	1/24
D.	5/5 x 42
Answer» B. 1/54

Discussion

661.	The probability that a man will live 10 more year is 1/4 and the probability that his wife will live 10 more year is 1/3. Then, the probability that none of them will be alive after 10 yr, is ?
A.	5/12
B.	1/2
C.	7/12
D.	11/12
Answer» C. 7/12

Discussion

662.	A complete cycle of a traffic light takes 60 s. During each cycle the light is green for 25 s, yellow for 5 s and red for 30 s. At a randomly chosen time, the probability that the light will not be gr
A.	1/3
B.	1/4
C.	5/12
D.	7/12
Answer» E.

Discussion

663.	Number 1 to 25 are marked on tokens of equals size one on each. A token is drawn at random. Find the probability of getting a number divisible by both 2 and 3?
A.	4/25
B.	7/25
C.	2/25
D.	9/25
Answer» B. 7/25

Discussion

664.	Two dice are thrown simultaneously. What is the probability of getting a number other than 4 on any dice ?
A.	25/36
B.	1/3
C.	17/36
D.	2/3
Answer» D. 2/3

Discussion

665.	There are 8 blue and 4 white balls in a bag . A ball is drawn at random. Without replacing it another ball is drawn. Find the probability that both the balls drawn are blue ?
A.	7/33
B.	14/33
C.	11/33
D.	2/33
Answer» C. 11/33

Discussion

666.	A bag contains 5 white, 7 red and 8 black balls. If 4 balls are drawn one by one with replacement, what is the probability that all are white ?
A.	1/256
B.	1/16
C.	4/20
D.	4/8
Answer» B. 1/16

Discussion

667.	A and B aim a target. The Probability that A hits the target is 5/7 and B hits the target in 7/10. What is the probability that exactly one of them hits the target ?
A.	21/10
B.	29/70
C.	31/70
D.	33/70
Answer» C. 31/70

Discussion

668.	What is the possibility of getting at least 6 heads, if eight coins are tossed simultaneously ?
A.	37/256
B.	25/57
C.	1/13
D.	None of these
Answer» B. 25/57

Discussion

669.	Two unbiased dice are thrown simultaneously. the probability of getting the sum divisible by 3, is ?
A.	11/36
B.	12/36
C.	13/36
D.	17/36
Answer» C. 13/36

Discussion

670.	Cards are down at random from a pack of 200 cards numbered 1 to 200. Find the probability of drawing a number which is a perfect cube ?
A.	1/40
B.	3/40
C.	7/40
D.	19/40
Answer» B. 3/40

Discussion

671.	when three coins are tossed together the probability that all coins have the same face up, is ?
A.	1/3
B.	1/6
C.	1/8
D.	1/12
Answer» D. 1/12

Discussion

672.	Two packs of card are thoroughly mixed and shuffled and two cards are drawn at random, one after the other. What is the probability that both of them are jack ?
A.	1/13
B.	2/13
C.	7/1339
D.	1/169
Answer» D. 1/169

Discussion

673.	A brother and sister appear for an interview against two vacant posts in an office. The probability of the brother's selection is 1/5th and that of the sister's selections is 1/3rd. What is the probab
A.	1/5
B.	2/5
C.	1/3
D.	2/3
Answer» D. 2/3

Discussion

674.	In his wardrobe, Girdhari has 3 trousers. One of them is grey the second blue and the third brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3 are white. He opens his war
A.	1/12
B.	1/6
C.	1/4
D.	1/2
Answer» E.

Discussion

675.	Raja can hit a target 3 times in 6 shots, Karan can hit the target 2 times in 6 shots and Ashwini can hit 4 times in 4 shots. What is the probability that atleast 2 shots hit the target ?
A.	1/2
B.	2/3
C.	1/3
D.	5/6
Answer» C. 1/3

Discussion

676.	In a bag containing three balls, a white ball was placed and then one ball was taken out at random. What is the probability that the extracted ball would turn on to be white, if all possible hypothesi
A.	5/8
B.	3/4
C.	1/2
D.	3/8
Answer» B. 3/4

Discussion

677.	From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being king ?
A.	1/15
B.	25/57
C.	35/256
D.	None of these
Answer» E.

Discussion

678.	What is the probability that a non-leap year contains 52 Tuesday only ?
A.	1/7
B.	2/7
C.	3/7
D.	6/7
Answer» E.

Discussion

679.	I forgot the last digit of a 7- digit telephone number. If I randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number ?
A.	1/1001
B.	1/990
C.	1/999
D.	1/1000
Answer» E.

Discussion

680.	Three students are picked at random from a school having a total of 1000 students. The probability that these students will have identical date and month of their birth, is ?
A.	3/1000
B.	3/365
C.	1/(365)2
D.	None of these
Answer» D. None of these

Discussion

681.	If E be the set of all integers with 1 in their unit place. The probability that a number chosen {2, 3, 4,...50} is an elements of E, is ?
A.	5/49
B.	4/49
C.	3/49
D.	2/49
Answer» C. 3/49

Discussion

682.	There are four machine and it is know that exactly two of them are faulty, They are tested. One by one in a random order till both the faulty machines are identified. Then the probability that only tw
A.	1/3
B.	1/6
C.	1/2
D.	1/4
Answer» C. 1/2

Discussion

683.	Seven white balls and three black ball are randomly placed in a row. The probability that no two black balls are placed adjacently equals ?
A.	1/2
B.	7/15
C.	2/15
D.	1/3
Answer» C. 2/15

Discussion

684.	n books are to be arranged on a self. These include m volumes of a science book (m < n). The probability that in any arrangement, the volumes of science books are in ascending order is ?
A.	1/ n!
B.	1/n-m!
C.	1/m!
D.	m!/n!
Answer» D. m!/n!

Discussion

685.	If an integer is selected at random from 1 to 100. The probability that it relatively prime to 100 is ?
A.	2/5
B.	61/100
C.	17/100
D.	19/100
Answer» B. 61/100

Discussion

686.	The number of tosses that have to be made in order that there is 99% probability of getting at least one head is ?
A.	5
B.	7
C.	6
D.	8
Answer» C. 6

Discussion

687.	The probability that a man lives after 10 years is 1/4 and that his wife is alive after 10 years is 1/3. The probability that neither of them is alive after 10 years is ?
A.	1/2
B.	1/12
C.	7/12
D.	3/4
Answer» B. 1/12

Discussion

688.	The probability that a card drawn from a pack of 52 cards will from a pack of 52 cards will be diamond or king being to ?
A.	4/52
B.	4/13
C.	1/52
D.	2/13
Answer» C. 1/52

Discussion

689.	In suffling a pack of card 3 are accidentally dropped then the chance that missing card should be of different suit is ?
A.	169/425
B.	261/425
C.	104/425
D.	None of these
Answer» B. 261/425

Discussion

690.	A card is drawn at random from a pack of 100 cards numbered 1 to 100. The probability drawing a number which is a square is ?
A.	1/5
B.	2/5
C.	1/10
D.	None of these
Answer» D. None of these

Discussion

691.	From a set of 17 cards numbered 1, 2, 3 ....... 17 one is drawn at random. The probability that the number is divisible by 3 or 7 is ?
A.	2/17
B.	1/7
C.	7/17
D.	10/ 17
Answer» D. 10/ 17

Discussion

692.	When two dice are thrown, the probability that the difference of the number on the dice is 2 or 3 is ?
A.	7/18
B.	3/11
C.	5/18
D.	1/2
Answer» B. 3/11

Discussion

693.	What is the probability of getting a sum 9 from two throws of dice.
A.	1/3
B.	1/6
C.	1/9
D.	1/12
Answer» D. 1/12

Discussion

694.	Two unbiased coins are tossed. What is probability of getting at most one tail ?
A.	1/2
B.	2/3
C.	3/2
D.	3/4
Answer» E.

Discussion

695.	In a throw of coin what is the probability of getting tails.
A.	0
B.	1
C.	2
D.	1/2
Answer» E.

Discussion

696.	The probability of occurrence of an event A is 5/9 . The probability of non-occurrence of the event B is 5/11. The probability that at least one of them will occur ?
A.	6/11
B.	5/9
C.	4/9
D.	0.8
Answer» E.

Discussion

697.	A six - faced dice is so biased that is twice as likely to show an even number as an odd number when throw. It is thrown twice. The probability that the sum of two number thrown is even is ?
A.	1/12
B.	1/6
C.	1/3
D.	5/9
Answer» E.

Discussion

698.	A bag contains 5 blue and 4 black balls. Three balls are drawn at random. What is the probability that 2 are blue and 1 is black ?
A.	1/3
B.	2/5
C.	1/6
D.	None of these
Answer» D. None of these

Discussion

699.	Two number are selected randomly from the set S = {1, 2, 3, 4, 5, 6} without replacement one by one. The probability that minimum of the number is less than 4 is ?
A.	1/15
B.	14/15
C.	1/5
D.	4/5
Answer» E.

Discussion

700.	The probability of occurrence of a multiple of 2 on a dice and multiple of 3 on the other dice . If both are thrown together is ?
A.	7/26
B.	1/3
C.	71/36
D.	1/4
Answer» C. 71/36

Discussion

Explore topic-wise MCQs in General Aptitude.

A committee of 3 members is to be selected to be selected out of 3 man and 2 women . What is the probability that the committee has at least one women ?

A number is selected at random from the set {1, 2, 3, ........, 50}. The probability that it is a prime, is

Let E be the set of all integers with 1 at their unit places. The probability that a number chosen from {2, 3, 4, ............, 50} is an element of E, is ?

If three unbiased coins are tossed simultaneously, then the probability of exactly two heads, is

A card is drawn from a well-shuffled pack of cards. The probability of getting a queen of club or a king of heart is ?

What is the probability that a card drawn at random from a pack of 52 cards is either a king or a spade?

Four whole number taken at random are multiplied together. The chance that the last digit in the product is 1, 3, 7, or 9 is ?

One hundred identical coins each with probability p of showing up head are tossed. If 0 < p < 1 and the probability of heads showing on 50 coins is equals to that of heads on 51 coins. Then the value

If one rolls a fair sides die twice, what is the probability that the die will land on the same number on both the occasions ?

The letters B, G, I, N, R are rearranged to form the word 'BRING'. Find its probability ?

The probability that a man will live 10 more year is 1/4 and the probability that his wife will live 10 more year is 1/3. Then, the probability that none of them will be alive after 10 yr, is ?

A complete cycle of a traffic light takes 60 s. During each cycle the light is green for 25 s, yellow for 5 s and red for 30 s. At a randomly chosen time, the probability that the light will not be gr

Number 1 to 25 are marked on tokens of equals size one on each. A token is drawn at random. Find the probability of getting a number divisible by both 2 and 3?

Two dice are thrown simultaneously. What is the probability of getting a number other than 4 on any dice ?

There are 8 blue and 4 white balls in a bag . A ball is drawn at random. Without replacing it another ball is drawn. Find the probability that both the balls drawn are blue ?

A bag contains 5 white, 7 red and 8 black balls. If 4 balls are drawn one by one with replacement, what is the probability that all are white ?

A and B aim a target. The Probability that A hits the target is 5/7 and B hits the target in 7/10. What is the probability that exactly one of them hits the target ?

What is the possibility of getting at least 6 heads, if eight coins are tossed simultaneously ?

Two unbiased dice are thrown simultaneously. the probability of getting the sum divisible by 3, is ?

Cards are down at random from a pack of 200 cards numbered 1 to 200. Find the probability of drawing a number which is a perfect cube ?

when three coins are tossed together the probability that all coins have the same face up, is ?

Two packs of card are thoroughly mixed and shuffled and two cards are drawn at random, one after the other. What is the probability that both of them are jack ?

A brother and sister appear for an interview against two vacant posts in an office. The probability of the brother's selection is 1/5th and that of the sister's selections is 1/3rd. What is the probab

In his wardrobe, Girdhari has 3 trousers. One of them is grey the second blue and the third brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3 are white. He opens his war

Raja can hit a target 3 times in 6 shots, Karan can hit the target 2 times in 6 shots and Ashwini can hit 4 times in 4 shots. What is the probability that atleast 2 shots hit the target ?

In a bag containing three balls, a white ball was placed and then one ball was taken out at random. What is the probability that the extracted ball would turn on to be white, if all possible hypothesi

From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being king ?

What is the probability that a non-leap year contains 52 Tuesday only ?

I forgot the last digit of a 7- digit telephone number. If I randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number ?

Three students are picked at random from a school having a total of 1000 students. The probability that these students will have identical date and month of their birth, is ?

If E be the set of all integers with 1 in their unit place. The probability that a number chosen {2, 3, 4,...50} is an elements of E, is ?

There are four machine and it is know that exactly two of them are faulty, They are tested. One by one in a random order till both the faulty machines are identified. Then the probability that only tw

Seven white balls and three black ball are randomly placed in a row. The probability that no two black balls are placed adjacently equals ?

n books are to be arranged on a self. These include m volumes of a science book (m < n). The probability that in any arrangement, the volumes of science books are in ascending order is ?

If an integer is selected at random from 1 to 100. The probability that it relatively prime to 100 is ?

The number of tosses that have to be made in order that there is 99% probability of getting at least one head is ?

The probability that a man lives after 10 years is 1/4 and that his wife is alive after 10 years is 1/3. The probability that neither of them is alive after 10 years is ?

The probability that a card drawn from a pack of 52 cards will from a pack of 52 cards will be diamond or king being to ?

In suffling a pack of card 3 are accidentally dropped then the chance that missing card should be of different suit is ?

A card is drawn at random from a pack of 100 cards numbered 1 to 100. The probability drawing a number which is a square is ?

From a set of 17 cards numbered 1, 2, 3 ....... 17 one is drawn at random. The probability that the number is divisible by 3 or 7 is ?

When two dice are thrown, the probability that the difference of the number on the dice is 2 or 3 is ?

What is the probability of getting a sum 9 from two throws of dice.

Two unbiased coins are tossed. What is probability of getting at most one tail ?

In a throw of coin what is the probability of getting tails.

The probability of occurrence of an event A is 5/9 . The probability of non-occurrence of the event B is 5/11. The probability that at least one of them will occur ?

A six - faced dice is so biased that is twice as likely to show an even number as an odd number when throw. It is thrown twice. The probability that the sum of two number thrown is even is ?

A bag contains 5 blue and 4 black balls. Three balls are drawn at random. What is the probability that 2 are blue and 1 is black ?

Two number are selected randomly from the set S = {1, 2, 3, 4, 5, 6} without replacement one by one. The probability that minimum of the number is less than 4 is ?

The probability of occurrence of a multiple of 2 on a dice and multiple of 3 on the other dice . If both are thrown together is ?