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Maths Probability Class 12 Case Based MCQ Questions

Case Based MCQ Quiz · Class 12 · Maths · CBSE

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Chapter 13 Class 12 Probability | 10 questions | about 8 minutes

Practise Probability Class 12 with Teachoo's Case Based MCQ Quiz (Class 12 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 10
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Question 1 of 10
The reliability of
The reliability of
The reliability of a COVID PCR test is specified as follows: Of people having COVID, 90\% of the test detects the disease but 10\% goes undetected. Of people free of COVID, 99\% of the test is judged COVID negative but 1\% are diagnosed as showing COVID positive. From a large population of which only \(0.1 \%\) have COVID, one person is selected at random, given the COVID PCR test, and the pathologist reports him/her as COVID positive.

Based on the above information, answer the following:
What is the probability of the 'person to be tested as COVID positive' given that 'he is actually having COVID?
Select an option to see the answer, or skip this question.
Question 2 of 10
The reliability of
The reliability of
The reliability of a COVID PCR test is specified as follows: Of people having COVID, 90\% of the test detects the disease but 10\% goes undetected. Of people free of COVID, 99\% of the test is judged COVID negative but 1\% are diagnosed as showing COVID positive. From a large population of which only \(0.1 \%\) have COVID, one person is selected at random, given the COVID PCR test, and the pathologist reports him/her as COVID positive.

Based on the above information, answer the following:
What is the probability of the 'person to be tested as COVID positive' given that 'he is actually not having COVID'?
Select an option to see the answer, or skip this question.
Question 3 of 10
The reliability of
The reliability of
The reliability of a COVID PCR test is specified as follows: Of people having COVID, 90\% of the test detects the disease but 10\% goes undetected. Of people free of COVID, 99\% of the test is judged COVID negative but 1\% are diagnosed as showing COVID positive. From a large population of which only \(0.1 \%\) have COVID, one person is selected at random, given the COVID PCR test, and the pathologist reports him/her as COVID positive.

Based on the above information, answer the following:
What is the probability that the 'person is actually not having COVID?
Select an option to see the answer, or skip this question.
Question 4 of 10
The reliability of
The reliability of
The reliability of a COVID PCR test is specified as follows: Of people having COVID, 90\% of the test detects the disease but 10\% goes undetected. Of people free of COVID, 99\% of the test is judged COVID negative but 1\% are diagnosed as showing COVID positive. From a large population of which only \(0.1 \%\) have COVID, one person is selected at random, given the COVID PCR test, and the pathologist reports him/her as COVID positive.

Based on the above information, answer the following:
What is the probability that the 'person is actually having COVID given that 'he is tested as COVID positive'?
Select an option to see the answer, or skip this question.
Question 5 of 10
The reliability of
The reliability of
The reliability of a COVID PCR test is specified as follows: Of people having COVID, 90\% of the test detects the disease but 10\% goes undetected. Of people free of COVID, 99\% of the test is judged COVID negative but 1\% are diagnosed as showing COVID positive. From a large population of which only \(0.1 \%\) have COVID, one person is selected at random, given the COVID PCR test, and the pathologist reports him/her as COVID positive.

Based on the above information, answer the following:
What is the probability that the 'person selected will be diagnosed as COVID positive'?
Select an option to see the answer, or skip this question.
Question 6 of 10
In answering a
In answering a
In answering a question on a multiple choice test for class XII, a student either knows the answer or guesses. Let \(\frac{3}{5}\) be the probability that he knows the answer and \(\frac{2}{5}\) be the probability that he guesses. Assume that a student who guesses at the answer will be correct with probability \(\frac{1}{3}\). Let \(\mathrm{E}_1, \mathrm{E}_2, \mathrm{E}\) be the events that the student knows the answer, guesses the answer and answers correctly respectively.

Based on the above information, answer the following:
What is the value of \(P\left(E_1\right)\) ?
Select an option to see the answer, or skip this question.
Question 7 of 10
In answering a
In answering a
In answering a question on a multiple choice test for class XII, a student either knows the answer or guesses. Let \(\frac{3}{5}\) be the probability that he knows the answer and \(\frac{2}{5}\) be the probability that he guesses. Assume that a student who guesses at the answer will be correct with probability \(\frac{1}{3}\). Let \(\mathrm{E}_1, \mathrm{E}_2, \mathrm{E}\) be the events that the student knows the answer, guesses the answer and answers correctly respectively.

Based on the above information, answer the following:
Value of \(P\left(E \mid E_1\right)\) is
Select an option to see the answer, or skip this question.
Question 8 of 10
In answering a
In answering a
In answering a question on a multiple choice test for class XII, a student either knows the answer or guesses. Let \(\frac{3}{5}\) be the probability that he knows the answer and \(\frac{2}{5}\) be the probability that he guesses. Assume that a student who guesses at the answer will be correct with probability \(\frac{1}{3}\). Let \(\mathrm{E}_1, \mathrm{E}_2, \mathrm{E}\) be the events that the student knows the answer, guesses the answer and answers correctly respectively.

Based on the above information, answer the following:
\(\sum_{k=1}^{k=2} P\left(E \mid E_k\right) P\left(E_k\right)\) Equal
Select an option to see the answer, or skip this question.
Question 9 of 10
In answering a
In answering a
In answering a question on a multiple choice test for class XII, a student either knows the answer or guesses. Let \(\frac{3}{5}\) be the probability that he knows the answer and \(\frac{2}{5}\) be the probability that he guesses. Assume that a student who guesses at the answer will be correct with probability \(\frac{1}{3}\). Let \(\mathrm{E}_1, \mathrm{E}_2, \mathrm{E}\) be the events that the student knows the answer, guesses the answer and answers correctly respectively.

Based on the above information, answer the following:
Value of \(\sum_{k=1}^{k=2} P\left(E_k\right)\)
Select an option to see the answer, or skip this question.
Question 10 of 10
In answering a
In answering a
In answering a question on a multiple choice test for class XII, a student either knows the answer or guesses. Let \(\frac{3}{5}\) be the probability that he knows the answer and \(\frac{2}{5}\) be the probability that he guesses. Assume that a student who guesses at the answer will be correct with probability \(\frac{1}{3}\). Let \(\mathrm{E}_1, \mathrm{E}_2, \mathrm{E}\) be the events that the student knows the answer, guesses the answer and answers correctly respectively.

Based on the above information, answer the following:
What is the probability that the student knows the answer given that he answered it correctly?
Select an option to see the answer, or skip this question.

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