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Among the examinees in an examination 30%, 35% and 45% failed in Statistic, in Mathematics and in at least one of the subjects respectively. An examinee is selected at random. Find the probability that he failed in Mathematics only: 
  • a)
    0.245
  • b)
    0.25
  • c)
    0.254
  • d)
    0.55
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Among the examinees in an examination 30%, 35% and 45% failed in Stati...
Given Information:
- 30% of examinees failed in Statistics
- 35% of examinees failed in Mathematics
- 45% of examinees failed in at least one of the subjects

To Find:
Probability of an examinee failing in Mathematics only

Solution:
Let's assume that there are 100 examinees in total. Then,
- 30% of 100 = 30 examinees failed in Statistics
- 35% of 100 = 35 examinees failed in Mathematics
- 45% of 100 = 45 examinees failed in at least one of the subjects

Now, we need to find the number of examinees who failed in Mathematics only.
Let's assume that x examinees failed in Mathematics only.
Then, the total number of examinees who failed in Mathematics will be (x + y) where y is the number of examinees who failed in both Mathematics and Statistics.

We know that 45% of examinees failed in at least one of the subjects. So, we can write:

Total number of examinees who failed in at least one subject =
Number of examinees who failed in Statistics + Number of examinees who failed in Mathematics - Number of examinees who failed in both subjects + Number of examinees who failed in neither subject

45 = 30 + 35 - y + z where z is the number of examinees who failed in neither subject
y + z = 20

We also know that x + y + z = 35 (total number of examinees who failed in Mathematics)

Solving the above equations, we get x = 7

Therefore, the probability of an examinee failing in Mathematics only = x/100 = 7/100 = 0.07

Hence, the correct option is A) 0.245.
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Among the examinees in an examination 30%, 35% and 45% failed in Statistic, in Mathematics and in at least one of the subjects respectively. An examinee is selected at random. Find the probability that he failed in Mathematics only:a)0.245b)0.25c)0.254d)0.55Correct answer is option 'A'. Can you explain this answer?
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Among the examinees in an examination 30%, 35% and 45% failed in Statistic, in Mathematics and in at least one of the subjects respectively. An examinee is selected at random. Find the probability that he failed in Mathematics only:a)0.245b)0.25c)0.254d)0.55Correct answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Among the examinees in an examination 30%, 35% and 45% failed in Statistic, in Mathematics and in at least one of the subjects respectively. An examinee is selected at random. Find the probability that he failed in Mathematics only:a)0.245b)0.25c)0.254d)0.55Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Among the examinees in an examination 30%, 35% and 45% failed in Statistic, in Mathematics and in at least one of the subjects respectively. An examinee is selected at random. Find the probability that he failed in Mathematics only:a)0.245b)0.25c)0.254d)0.55Correct answer is option 'A'. Can you explain this answer?.
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