A question is given to three students A, Band Cwhose chances of solving it are 1/2,1/3 and 1/4 respectively. What is the probability that the question will be solved?a)1/24b)1/4c)3/4d)23/24Correct answer is option 'C'. Can you explain this answer?

Question

Answer

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

Answer:
To find the probability that the question will be solved, we need to consider the probabilities of each student solving the question and calculate the overall probability.

Approach:
We will calculate the probability of the question not being solved by any of the students and subtract it from 1 to find the probability of the question being solved.

Calculation:
The probability of a student not solving the question can be calculated by subtracting the probability of the student solving the question from 1.

- Probability of A not solving the question = 1 - 1/2 = 1/2
- Probability of B not solving the question = 1 - 1/3 = 2/3
- Probability of C not solving the question = 1 - 1/4 = 3/4

Since we need to find the probability that the question will be solved by at least one student, we will calculate the probability of the question not being solved by any of the students.

- Probability of the question not being solved by any student = (Probability of A not solving) * (Probability of B not solving) * (Probability of C not solving)
- = (1/2) * (2/3) * (3/4)
- = 1/4

Finally, we subtract the probability of the question not being solved from 1 to find the probability of the question being solved.

- Probability of the question being solved = 1 - 1/4
- = 3/4

Therefore, the correct answer is option 'C' - 3/4.

Similar Defence Doubts

A problem in statistics is given to three students A, B and C whose chances of solving it independently are 1/2, 1/3, and 1/4 respectively. The probability that the problem will be solved is

A problem is given to three students A, B and C whose probabilities of solving the problem are respectively. What is the probability that the problem will be solved if they all solve the problem independently?

In an examination, there are 3 multiple-choice questions and each question has 4 choices. If a student randomly selects an answer for all the three questions, what is the probability that the students will not answer all the three questions correctly?

In an examination, the probability of a candidate solving a question is 1/2 Out of given 5 questions in the examination, what is the probability that the candidate was able to solve at least 2 questions?

Three candidates solve a question. Odds in favour of the correct answer are 5:2,4:3 and 3:4 respectively for the three candidates. What is the probability that at least two of them solve the question correctly?

Top Courses for Defence

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams