Commerce Exam > Commerce Tests > Test: Probability- Case Based Type Questions- 2 - Commerce MCQ

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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

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

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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

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

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 E_{1}, E_{2}, 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 E_{1}, E_{2}, E be the events that the student knows the answer, guesses the answer and answers correctly respectively.

**Q. Value of P(E|E**_{1}**) is**

Detailed Solution for Test: Probability- Case Based Type Questions- 2 - Question 7

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 E_{1}, E_{2}, E be the events that the student knows the answer, guesses the answer and answers correctly respectively.

**Q. What is the value of P(E**_{1}**)?**

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:

_{1}, E_{2}, 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:

_{1}, E_{2}, 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

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

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

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:

**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

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:

**Q. Find the variance of the number of kings ?**

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

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