Sawaal
874
Q:

A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?

A) 1/4 B) 1/2
C) 3/4 D) 7/12

Answer:   C) 3/4



Explanation:

Let A, B, C be the respective events of solving the problem and A , B, C be the respective events of not solving the problem. Then A, B, C are independent event

∴A, B, C are independent events

Now,  P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4

 PA=12, PB=23, PC= 34

∴ P( none  solves the problem) = P(not A) and (not B) and (not C)  

                  = PA∩B∩C 

                  = PAPBPC         ∵ A, B, C are Independent                       

                  =  12×23×34  

                  = 14  

Hence, P(the problem will be solved) = 1 - P(none solves the problem) 

                = 1-14= 3/4

Subject: Probability - Quantitative Aptitude - Arithmetic Ability
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO
Related Questions
Q:

Find the range and mode of the data 17, 18, 28, 19, 16, 18, 17, 29, 18

A) 12 and 18 B) 13 and 18
C) 12 and 17 D) 11 and 17
 
Answer & Explanation Answer: B) 13 and 18

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Probability - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

5 306
Q:

Find the standard deviation of {11, 7, 10,13, 9}

A) 1 B) 2
C) 4 D) 5
 
Answer & Explanation Answer: B) 2

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Probability - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

2 272
Q:

A table tennis player, lost 12 games out of 18 games played. Calculate the games won in terms of decimal.

A) 0.667 B) 0.067
C) 0.50 D) 0.333
 
Answer & Explanation Answer: D) 0.333

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Probability - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

1 384
Q:

A sequence a, ax, ax2, ......, axn, has odd number of terms. Then the median is

 

A) axn2+1 B) axn2-1
C) axn-1 D) axn2
 
Answer & Explanation Answer: D) axn2

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Probability - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

3 2447
Q:

The mean of a distribution is 15 and the standard deviation is 5. What is the value of the coefficient variation?

A) 16.66% B) 66.66%
C) 33.33% D) 100%
 
Answer & Explanation Answer: C) 33.33%

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Probability - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

5 619
Q:

If the standard deviation of a population is 3, what would be the population variance?

 

A) 9 B) 6
C) 8 D) 15
 
Answer & Explanation Answer: A) 9

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Probability - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

3 3079
Q:

The variance of a set of data is 169. Then the standard deviation of the data is

 

A) +-13 B) 13
C) 69 D) 84.5
 
Answer & Explanation Answer: B) 13

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Probability - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

3 2528
Q:

If the standard deviation of a population is 10, what would be the population variance?

A) 100 B) 30
C) 5 D) 20
 
Answer & Explanation Answer: A) 100

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Probability - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

3 566