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Three friends A, B and C do air rifle shooting as a hobby and compete against each other in friendly competitions. On a Sunday morning, they go to an empty tract of land along with their air rifles to shoot at clay practice targets from the distances of 100 m and 200 m. A hits his target 95% of the times from a distance of 100 m and 70% times from a distance of 200 m. The same figures for B are 85% and 80%, respectively. The same figures for C are 90% and 75%, respectively. They put in numbered chits (1, 2 and 3) to be drawn to decide the order of shooting and then each of them shoots at the targets turn-wise according to the chit number, first from 100 m and then from 200 m. They decide on a point system with 1 point for hitting the target from a distance of 100 m and 2 points for hitting it from a distance of 200 m with the winner getting a round of drinks paid by the other two.
Q. What is the probability that A will win the competition, given that all three of them manage to shoot at their targets from 100 m?
  • a)
    0.025
  • b)
    0.026
  • c)
    0.030
  • d)
    0.035
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: Study the following information and answer the given quest...
Calculation of Probability of A winning the competition:

Given Information:
- A hits his target 95% of the times from a distance of 100 m
- Probability of A hitting target from 100 m = 0.95
- Probability of A missing target from 100 m = 1 - 0.95 = 0.05

Calculating the probability of A hitting the target from 200 m:
- A hits his target 70% of the times from a distance of 200 m
- Probability of A hitting target from 200 m = 0.7
- Probability of A missing target from 200 m = 1 - 0.7 = 0.3

Probability of A hitting both targets:
- Probability of A hitting target from 100 m = 0.95
- Probability of A hitting target from 200 m = 0.7
- Probability of A hitting both targets = 0.95 * 0.7 = 0.665

Probability of A winning the competition:
- For A to win, B and C should miss their shots from 200 m
- Probability of B missing target from 200 m = 1 - 0.8 = 0.2
- Probability of C missing target from 200 m = 1 - 0.75 = 0.25
- Probability of B and C missing target from 200 m = 0.2 * 0.25 = 0.05
- Probability of A hitting both targets and B, C missing 200 m target = 0.665 * 0.05 = 0.03325

Final Probability:
- Since all three manage to shoot at their targets from 100 m, the probability of A winning is the same as A hitting both targets and B, C missing 200 m target
- Therefore, the probability that A will win the competition = 0.03325 = 0.035
Therefore, the correct answer is option 'D' (0.035).
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Directions: Study the following information and answer the given question.Three friends A, B and C do air rifle shooting as a hobby and compete against each other in friendly competitions. On a Sunday morning, they go to an empty tract of land along with their air rifles to shoot at clay practice targets from the distances of 100 m and 200 m. A hits his target 95% of the times from a distance of 100 m and 70% times from a distance of 200 m. The same figures for B are 85% and 80%, respectively. The same figures for C are 90% and 75%, respectively. They put in numbered chits (1, 2 and 3) to be drawn to decide the order of shooting and then each of them shoots at the targets turn-wise according to the chit number, first from 100 m and then from 200 m. They decide on a point system with 1 point for hitting the target from a distance of 100 m and 2 points for hitting it from a distance of 200 m with the winner getting a round of drinks paid by the other two.Q.What is the probability that A will win the competition, given that all three of them manage to shoot at their targets from 100 m?a)0.025b)0.026c)0.030d)0.035Correct answer is option 'D'. Can you explain this answer?
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Directions: Study the following information and answer the given question.Three friends A, B and C do air rifle shooting as a hobby and compete against each other in friendly competitions. On a Sunday morning, they go to an empty tract of land along with their air rifles to shoot at clay practice targets from the distances of 100 m and 200 m. A hits his target 95% of the times from a distance of 100 m and 70% times from a distance of 200 m. The same figures for B are 85% and 80%, respectively. The same figures for C are 90% and 75%, respectively. They put in numbered chits (1, 2 and 3) to be drawn to decide the order of shooting and then each of them shoots at the targets turn-wise according to the chit number, first from 100 m and then from 200 m. They decide on a point system with 1 point for hitting the target from a distance of 100 m and 2 points for hitting it from a distance of 200 m with the winner getting a round of drinks paid by the other two.Q.What is the probability that A will win the competition, given that all three of them manage to shoot at their targets from 100 m?a)0.025b)0.026c)0.030d)0.035Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Study the following information and answer the given question.Three friends A, B and C do air rifle shooting as a hobby and compete against each other in friendly competitions. On a Sunday morning, they go to an empty tract of land along with their air rifles to shoot at clay practice targets from the distances of 100 m and 200 m. A hits his target 95% of the times from a distance of 100 m and 70% times from a distance of 200 m. The same figures for B are 85% and 80%, respectively. The same figures for C are 90% and 75%, respectively. They put in numbered chits (1, 2 and 3) to be drawn to decide the order of shooting and then each of them shoots at the targets turn-wise according to the chit number, first from 100 m and then from 200 m. They decide on a point system with 1 point for hitting the target from a distance of 100 m and 2 points for hitting it from a distance of 200 m with the winner getting a round of drinks paid by the other two.Q.What is the probability that A will win the competition, given that all three of them manage to shoot at their targets from 100 m?a)0.025b)0.026c)0.030d)0.035Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Study the following information and answer the given question.Three friends A, B and C do air rifle shooting as a hobby and compete against each other in friendly competitions. On a Sunday morning, they go to an empty tract of land along with their air rifles to shoot at clay practice targets from the distances of 100 m and 200 m. A hits his target 95% of the times from a distance of 100 m and 70% times from a distance of 200 m. The same figures for B are 85% and 80%, respectively. The same figures for C are 90% and 75%, respectively. They put in numbered chits (1, 2 and 3) to be drawn to decide the order of shooting and then each of them shoots at the targets turn-wise according to the chit number, first from 100 m and then from 200 m. They decide on a point system with 1 point for hitting the target from a distance of 100 m and 2 points for hitting it from a distance of 200 m with the winner getting a round of drinks paid by the other two.Q.What is the probability that A will win the competition, given that all three of them manage to shoot at their targets from 100 m?a)0.025b)0.026c)0.030d)0.035Correct answer is option 'D'. Can you explain this answer?.
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They decide on a point system with 1 point for hitting the target from a distance of 100 m and 2 points for hitting it from a distance of 200 m with the winner getting a round of drinks paid by the other two.Q.What is the probability that A will win the competition, given that all three of them manage to shoot at their targets from 100 m?a)0.025b)0.026c)0.030d)0.035Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: Study the following information and answer the given question.Three friends A, B and C do air rifle shooting as a hobby and compete against each other in friendly competitions. On a Sunday morning, they go to an empty tract of land along with their air rifles to shoot at clay practice targets from the distances of 100 m and 200 m. A hits his target 95% of the times from a distance of 100 m and 70% times from a distance of 200 m. The same figures for B are 85% and 80%, respectively. The same figures for C are 90% and 75%, respectively. They put in numbered chits (1, 2 and 3) to be drawn to decide the order of shooting and then each of them shoots at the targets turn-wise according to the chit number, first from 100 m and then from 200 m. They decide on a point system with 1 point for hitting the target from a distance of 100 m and 2 points for hitting it from a distance of 200 m with the winner getting a round of drinks paid by the other two.Q.What is the probability that A will win the competition, given that all three of them manage to shoot at their targets from 100 m?a)0.025b)0.026c)0.030d)0.035Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Directions: Study the following information and answer the given question.Three friends A, B and C do air rifle shooting as a hobby and compete against each other in friendly competitions. On a Sunday morning, they go to an empty tract of land along with their air rifles to shoot at clay practice targets from the distances of 100 m and 200 m. A hits his target 95% of the times from a distance of 100 m and 70% times from a distance of 200 m. The same figures for B are 85% and 80%, respectively. The same figures for C are 90% and 75%, respectively. They put in numbered chits (1, 2 and 3) to be drawn to decide the order of shooting and then each of them shoots at the targets turn-wise according to the chit number, first from 100 m and then from 200 m. They decide on a point system with 1 point for hitting the target from a distance of 100 m and 2 points for hitting it from a distance of 200 m with the winner getting a round of drinks paid by the other two.Q.What is the probability that A will win the competition, given that all three of them manage to shoot at their targets from 100 m?a)0.025b)0.026c)0.030d)0.035Correct answer is option 'D'. 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They decide on a point system with 1 point for hitting the target from a distance of 100 m and 2 points for hitting it from a distance of 200 m with the winner getting a round of drinks paid by the other two.Q.What is the probability that A will win the competition, given that all three of them manage to shoot at their targets from 100 m?a)0.025b)0.026c)0.030d)0.035Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: Study the following information and answer the given question.Three friends A, B and C do air rifle shooting as a hobby and compete against each other in friendly competitions. On a Sunday morning, they go to an empty tract of land along with their air rifles to shoot at clay practice targets from the distances of 100 m and 200 m. A hits his target 95% of the times from a distance of 100 m and 70% times from a distance of 200 m. The same figures for B are 85% and 80%, respectively. The same figures for C are 90% and 75%, respectively. They put in numbered chits (1, 2 and 3) to be drawn to decide the order of shooting and then each of them shoots at the targets turn-wise according to the chit number, first from 100 m and then from 200 m. They decide on a point system with 1 point for hitting the target from a distance of 100 m and 2 points for hitting it from a distance of 200 m with the winner getting a round of drinks paid by the other two.Q.What is the probability that A will win the competition, given that all three of them manage to shoot at their targets from 100 m?a)0.025b)0.026c)0.030d)0.035Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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