Test: Probability- Case Based Type Questions- 2 - JEE MCQ

# Test: Probability- Case Based Type Questions- 2 - JEE MCQ

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## 15 Questions MCQ Test Mathematics (Maths) Class 12 - Test: Probability- Case Based Type Questions- 2

Test: Probability- Case Based Type Questions- 2 for JEE 2024 is part of Mathematics (Maths) Class 12 preparation. The Test: Probability- Case Based Type Questions- 2 questions and answers have been prepared according to the JEE exam syllabus.The Test: Probability- Case Based Type Questions- 2 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Probability- Case Based Type Questions- 2 below.
Solutions of Test: Probability- Case Based Type Questions- 2 questions in English are available as part of our Mathematics (Maths) Class 12 for JEE & Test: Probability- Case Based Type Questions- 2 solutions in Hindi for Mathematics (Maths) Class 12 course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt Test: Probability- Case Based Type Questions- 2 | 15 questions in 30 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mathematics (Maths) Class 12 for JEE Exam | Download free PDF with solutions
Test: Probability- Case Based Type Questions- 2 - Question 1

### Direction: Read the following text and answer the following questions on the basis of the same: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.Q. What is the probability that ‘none of them will hit the target’?

Detailed Solution for Test: Probability- Case Based Type Questions- 2 - Question 1
Probability that none of them will hit the target

Test: Probability- Case Based Type Questions- 2 - Question 2

### Direction: Read the following text and answer the following questions on the basis of the same:A coach is training 3 players. He observes that player A can hit a target 4 times in 5 shots, player B can hit 3 times in 4 shots and player C can hit 2 times in 3 shots.Q. What is the probability that B, C will hit and A will lose?

Detailed Solution for Test: Probability- Case Based Type Questions- 2 - Question 2

= 1/5

Probability that B, C will hit and A will lose

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Test: Probability- Case Based Type Questions- 2 - Question 3

### Direction: Read the following text and answer the following questions on the basis of the same:A coach is training 3 players. He observes that player A can hit a target 4 times in 5 shots, player B can hit 3 times in 4 shots and player C can hit 2 times in 3 shots.Q. Let the target is hit by A, B: the target is hit by B and, C: the target is hit by A and C. Then, the probability that A, B and, C all will hit, is

Detailed Solution for Test: Probability- Case Based Type Questions- 2 - Question 3

Probability that A, B and C all will hit the target

Test: Probability- Case Based Type Questions- 2 - Question 4

Direction: Read the following text and answer the following questions on the basis of the same:

A coach is training 3 players. He observes that 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.

Q. What is the probability that ‘any two of A, B and C will hit?

Detailed Solution for Test: Probability- Case Based Type Questions- 2 - Question 4

Probability that any two of A, B and C will hit

Test: Probability- Case Based Type Questions- 2 - Question 5

Direction: Read the following text and answer the following questions on the basis of the same:

A coach is training 3 players. He observes that 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.

Q. What is the probability that at least one of A, B or C will hit the target?

Test: Probability- Case Based Type Questions- 2 - Question 6

Direction: Read the following text and answer the following questions on the basis of the same:

In answering a question on a multiple choice test for class XII, a student either knows the answer or guesses. Let 3/5 be the probability that he knows the answer and 2/5 be the probability that he guesses. Assume that a student who guesses at the answer will be correct with probability 1/3. Let E1, E2, E be the events that the student knows the answer, guesses the answer and answers correctly respectively.

Q.

Detailed Solution for Test: Probability- Case Based Type Questions- 2 - Question 6

Test: Probability- Case Based Type Questions- 2 - Question 7

Direction: Read the following text and answer the following questions on the basis of the same:

In answering a question on a multiple choice test for class XII, a student either knows the answer or guesses. Let 3/5 be the probability that he knows the answer and 2/5 be the probability that he guesses. Assume that a student who guesses at the answer will be correct with probability 1/3. Let E1, E2, E be the events that the student knows the answer, guesses the answer and answers correctly respectively.

Q. Value of P(E|E1) is

Detailed Solution for Test: Probability- Case Based Type Questions- 2 - Question 7
P(E1 / E) = 1
Test: Probability- Case Based Type Questions- 2 - Question 8

Direction: Read the following text and answer the following questions on the basis of the same:

In answering a question on a multiple choice test for class XII, a student either knows the answer or guesses. Let 3/5 be the probability that he knows the answer and 2/5 be the probability that he guesses. Assume that a student who guesses at the answer will be correct with probability 1/3. Let E1, E2, E be the events that the student knows the answer, guesses the answer and answers correctly respectively.

Q. What is the value of P(E1)?

Test: Probability- Case Based Type Questions- 2 - Question 9

Direction: Read the following text and answer the following questions on the basis of the same:

In answering a question on a multiple choice test for class XII, a student either knows the answer or guesses. Let 3/5 be the probability that he knows the answer and 2/5 be the probability that he guesses. Assume that a student who guesses at the answer will be correct with probability 1/3. Let E1, E2, E be the events that the student knows the answer, guesses the answer and answers correctly respectively.

Q.

Detailed Solution for Test: Probability- Case Based Type Questions- 2 - Question 9

Test: Probability- Case Based Type Questions- 2 - Question 10

Direction: Read the following text and answer the following questions on the basis of the same:

In answering a question on a multiple choice test for class XII, a student either knows the answer or guesses. Let 3/5 be the probability that he knows the answer and 2/5 be the probability that he guesses. Assume that a student who guesses at the answer will be correct with probability 1/3. Let E1, E2, E be the events that the student knows the answer, guesses the answer and answers correctly respectively.

Q. What is the probability that the student knows the answer given that he answered it correctly?

Detailed Solution for Test: Probability- Case Based Type Questions- 2 - Question 10

Test: Probability- Case Based Type Questions- 2 - Question 11

Direction: Read the following text and answer the following questions on the basis of the same:

A group of people start playing cards. And as we know a well shuffled pack of cards contains a total of 52 cards. Then 2 cards are drawn simultaneously (or successively without replacement).

Q. Find the mean of the number of kings ?

Detailed Solution for Test: Probability- Case Based Type Questions- 2 - Question 11
Mean=∑xi pi

= 34/221

= 2/13

Test: Probability- Case Based Type Questions- 2 - Question 12

Direction: Read the following text and answer the following questions on the basis of the same:

A group of people start playing cards. And as we know a well shuffled pack of cards contains a total of 52 cards. Then 2 cards are drawn simultaneously (or successively without replacement).

Q. If x = no. of kings = 0, 1, 2. Then P(x = 1) = ?

Detailed Solution for Test: Probability- Case Based Type Questions- 2 - Question 12

= 188/221

Test: Probability- Case Based Type Questions- 2 - Question 13

Direction: Read the following text and answer the following questions on the basis of the same:

A group of people start playing cards. And as we know a well shuffled pack of cards contains a total of 52 cards. Then 2 cards are drawn simultaneously (or successively without replacement).

Q. If x = no. of kings = 0, 1, 2. Then P(x = 0) = ?

Detailed Solution for Test: Probability- Case Based Type Questions- 2 - Question 13

= 188/221

Test: Probability- Case Based Type Questions- 2 - Question 14

Direction: Read the following text and answer the following questions on the basis of the same:

A group of people start playing cards. And as we know a well shuffled pack of cards contains a total of 52 cards. Then 2 cards are drawn simultaneously (or successively without replacement).

Q. If x = no. of kings = 0, 1, 2. Then P(x = 2) = ?

Detailed Solution for Test: Probability- Case Based Type Questions- 2 - Question 14

= 1/221

Test: Probability- Case Based Type Questions- 2 - Question 15

Direction: Read the following text and answer the following questions on the basis of the same:

A group of people start playing cards. And as we know a well shuffled pack of cards contains a total of 52 cards. Then 2 cards are drawn simultaneously (or successively without replacement).

Q. Find the variance of the number of kings ?

Detailed Solution for Test: Probability- Case Based Type Questions- 2 - Question 15

= 36/221

= 400/2873

## Mathematics (Maths) Class 12

204 videos|288 docs|139 tests
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## Mathematics (Maths) Class 12

204 videos|288 docs|139 tests