Teachoo MCQ Test

Case Based MCQ Quiz

Preparing for CBSE

Chapter 13 Class 12 Probability | 10 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 864
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
Select one option. Answers are shown after the test.
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?
Select one option. Answers are shown after the test.
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?
Select one option. Answers are shown after the test.
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'?
Select one option. Answers are shown after the test.
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 one option. Answers are shown after the test.
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 one option. Answers are shown after the test.
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 one option. Answers are shown after the test.
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 one option. Answers are shown after the test.
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 one option. Answers are shown after the test.
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 one option. Answers are shown after the test.