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In an examination, there are three sections namely Reasoning, Maths and English. Reasoning part contains 4 questions. There are 5 questions in maths section and 6 questions in English section. If three questions are selected randomly from the list of questions then what is the probability that all of them are from maths?
  • a)
    7/91
  • b)
    8/91
  • c)
    2/91
  • d)
    4/91
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In an examination, there are three sections namely Reasoning, Maths an...
Total no of questions= 15
Probability = 5c3/15c3 = 2/91
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Most Upvoted Answer
In an examination, there are three sections namely Reasoning, Maths an...
Total no of questions= 15
Probability = 5c3/15c3 = 2/91
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Community Answer
In an examination, there are three sections namely Reasoning, Maths an...
Explanation:

Given,
- Reasoning section contains 4 questions
- Maths section contains 5 questions
- English section contains 6 questions
- Three questions are selected randomly

Total number of ways to select 3 questions from 15 questions= ${15 \choose 3}$

Number of ways to select 3 questions from Maths section= ${5 \choose 3}$

Therefore, the probability that all three questions are from Maths section is given by:

$$P = \frac{{5 \choose 3}}{{15 \choose 3}} = \frac{\frac{5!}{3!2!}}{\frac{15!}{3!12!}} = \frac{10}{455} = \frac{2}{91}$$

Therefore, the answer is option C i.e. 2/91.
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In an examination, there are three sections namely Reasoning, Maths and English. Reasoning part contains 4 questions. There are 5 questions in maths section and 6 questions in English section. If three questions are selected randomly from the list of questions then what is the probability that all of them are from maths?a)7/91b)8/91c)2/91d)4/91Correct answer is option 'C'. Can you explain this answer?
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