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Two students X and Y appeared in an examination. The probability that X will qualify the examination is 0.05 and Y will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. What is the probability that only one of them will qualify the examination ?
- a)0.15
- b)0.14
- c)0.12
- d)0.11
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Two students X and Y appeared in an examination. The probability that ...
Let A and B be the events
= P (A) + P ( B ) - 2P (A
B)
= 0.05 + 0.1-2(0.02)
= 0.15-0.04=0.11
Hence the pobability that only one of them will qualify the examination is 0.11.
= P (A) + P ( B ) - 2P (A
B)= 0.05 + 0.1-2(0.02)
= 0.15-0.04=0.11
Hence the pobability that only one of them will qualify the examination is 0.11.
Most Upvoted Answer
Two students X and Y appeared in an examination. The probability that ...
To find the probability that only one of the students will qualify the examination, we need to find the probability that X qualifies and Y does not, or Y qualifies and X does not.
Let's calculate the probability that X qualifies and Y does not:
P(X qualifies and Y does not) = P(X qualifies) * P(Y does not qualify)
Since the probability that X qualifies is 0.05 and the probability that Y does not qualify is 1 - 0.10 = 0.90, we can calculate:
P(X qualifies and Y does not) = 0.05 * 0.90 = 0.045
Now let's calculate the probability that Y qualifies and X does not:
P(Y qualifies and X does not) = P(Y qualifies) * P(X does not qualify)
Since the probability that Y qualifies is 0.10 and the probability that X does not qualify is 1 - 0.05 = 0.95, we can calculate:
P(Y qualifies and X does not) = 0.10 * 0.95 = 0.095
To find the probability that only one of them qualifies, we need to add the probabilities of these two cases:
P(only one qualifies) = P(X qualifies and Y does not) + P(Y qualifies and X does not)
P(only one qualifies) = 0.045 + 0.095
P(only one qualifies) = 0.14
Therefore, the probability that only one of the students will qualify the examination is 0.14.
Let's calculate the probability that X qualifies and Y does not:
P(X qualifies and Y does not) = P(X qualifies) * P(Y does not qualify)
Since the probability that X qualifies is 0.05 and the probability that Y does not qualify is 1 - 0.10 = 0.90, we can calculate:
P(X qualifies and Y does not) = 0.05 * 0.90 = 0.045
Now let's calculate the probability that Y qualifies and X does not:
P(Y qualifies and X does not) = P(Y qualifies) * P(X does not qualify)
Since the probability that Y qualifies is 0.10 and the probability that X does not qualify is 1 - 0.05 = 0.95, we can calculate:
P(Y qualifies and X does not) = 0.10 * 0.95 = 0.095
To find the probability that only one of them qualifies, we need to add the probabilities of these two cases:
P(only one qualifies) = P(X qualifies and Y does not) + P(Y qualifies and X does not)
P(only one qualifies) = 0.045 + 0.095
P(only one qualifies) = 0.14
Therefore, the probability that only one of the students will qualify the examination is 0.14.
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Two students X and Y appeared in an examination. The probability that X will qualify the examination is 0.05 and Y will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. What is the probability that only one of them will qualify the examination ?a)0.15b)0.14c)0.12d)0.11Correct answer is option 'D'. Can you explain this answer?
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Two students X and Y appeared in an examination. The probability that X will qualify the examination is 0.05 and Y will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. What is the probability that only one of them will qualify the examination ?a)0.15b)0.14c)0.12d)0.11Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Two students X and Y appeared in an examination. The probability that X will qualify the examination is 0.05 and Y will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. What is the probability that only one of them will qualify the examination ?a)0.15b)0.14c)0.12d)0.11Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two students X and Y appeared in an examination. The probability that X will qualify the examination is 0.05 and Y will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. What is the probability that only one of them will qualify the examination ?a)0.15b)0.14c)0.12d)0.11Correct answer is option 'D'. Can you explain this answer?.
Two students X and Y appeared in an examination. The probability that X will qualify the examination is 0.05 and Y will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. What is the probability that only one of them will qualify the examination ?a)0.15b)0.14c)0.12d)0.11Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Two students X and Y appeared in an examination. The probability that X will qualify the examination is 0.05 and Y will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. What is the probability that only one of them will qualify the examination ?a)0.15b)0.14c)0.12d)0.11Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two students X and Y appeared in an examination. The probability that X will qualify the examination is 0.05 and Y will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. What is the probability that only one of them will qualify the examination ?a)0.15b)0.14c)0.12d)0.11Correct answer is option 'D'. Can you explain this answer?.
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Two students X and Y appeared in an examination. The probability that X will qualify the examination is 0.05 and Y will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. What is the probability that only one of them will qualify the examination ?a)0.15b)0.14c)0.12d)0.11Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Two students X and Y appeared in an examination. The probability that X will qualify the examination is 0.05 and Y will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. What is the probability that only one of them will qualify the examination ?a)0.15b)0.14c)0.12d)0.11Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Two students X and Y appeared in an examination. The probability that X will qualify the examination is 0.05 and Y will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. What is the probability that only one of them will qualify the examination ?a)0.15b)0.14c)0.12d)0.11Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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