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Maths Probability Class 12 Case Based MCQ Questions

Case Based MCQ Quiz · Class 12 · Maths · CBSE

Preparing for CBSE

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
A coach is
A coach is
A coach is training 3 players. He observes that the player A can hit a target 4 times in 5 shots, player B can hit 3 times in 4 shots and the player \(C\) can hit 2 times in 3 shots.

From this situation answer the following:
Let the target is hit by \(\mathrm{A}, \mathrm{B}\) and C . Then, the probability that \(\mathrm{A}, \mathrm{B}\) and, C all will hit, is
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Question 2 of 10
A coach is
A coach is
A coach is training 3 players. He observes that the player A can hit a target 4 times in 5 shots, player B can hit 3 times in 4 shots and the player \(C\) can hit 2 times in 3 shots.

From this situation answer the following:
Referring to (i), what is the probability that \(\mathrm{B}, \mathrm{C}\) will hit and A will lose?
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Question 3 of 10
A coach is
A coach is
A coach is training 3 players. He observes that the player A can hit a target 4 times in 5 shots, player B can hit 3 times in 4 shots and the player \(C\) can hit 2 times in 3 shots.

From this situation answer the following:
With reference to the events mentioned in (i), what is the probability that 'any two of \(A, B\) and \(C\) will hit?
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Question 4 of 10
A coach is
A coach is
A coach is training 3 players. He observes that the player A can hit a target 4 times in 5 shots, player B can hit 3 times in 4 shots and the player \(C\) can hit 2 times in 3 shots.

From this situation answer the following:
What is the probability that 'none of them will hit the target'?
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Question 5 of 10
A coach is
A coach is
A coach is training 3 players. He observes that the player A can hit a target 4 times in 5 shots, player B can hit 3 times in 4 shots and the player \(C\) can hit 2 times in 3 shots.

From this situation answer the following:
What is the probability that at least one of A, B or C will hit the target?
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
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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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