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DIRECTIONS for the question: Solve the following question and mark the best possible option.
P, Q and R are positive integers such that P+Q+R=100. Find the probability that P >20, Q > 10 and R>20.?
- a)23/99
- b)8/33
- c)2/9
- d)1/3
Correct answer is option 'B'. Can you explain this answer?
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DIRECTIONS for the question:Solve the following question and mark the ...
Explanation:
Given:
- P, Q, and R are positive integers such that P + Q + R = 100
- We need to find the probability that P > 20, Q > 10, and R > 20
Total number of possibilities:
- Since P, Q, and R are positive integers and their sum is 100, the total number of possibilities can be calculated using the formula for distributing identical objects into different boxes, which is (n + r - 1)C(r - 1), where n is the total sum and r is the number of variables.
- So, the total number of possibilities = (100 + 3 - 1)C(3 - 1) = 102C2 = 5151
Finding the favorable outcomes:
- To find the favorable outcomes, we need to consider the cases when P > 20, Q > 10, and R > 20.
- Let's assume P = 21, then the sum of Q and R should be 79. Since Q and R are positive integers, the possibilities for Q and R can be calculated using the same formula as above.
- For P = 21, the number of possibilities for Q and R = (79 + 2 - 1)C(2 - 1) = 80C1 = 80
- Similarly, for P = 22, 23, ..., 80, the number of possibilities for Q and R will be 78, 77, ..., 21 respectively.
Calculating the probability:
- Adding up all the favorable outcomes, we get 80 + 78 + 77 + ... + 1 = 3160
- Therefore, the probability = 3160 / 5151 = 8 / 33
Therefore, the correct answer is option 'b) 8/33'.
Given:
- P, Q, and R are positive integers such that P + Q + R = 100
- We need to find the probability that P > 20, Q > 10, and R > 20
Total number of possibilities:
- Since P, Q, and R are positive integers and their sum is 100, the total number of possibilities can be calculated using the formula for distributing identical objects into different boxes, which is (n + r - 1)C(r - 1), where n is the total sum and r is the number of variables.
- So, the total number of possibilities = (100 + 3 - 1)C(3 - 1) = 102C2 = 5151
Finding the favorable outcomes:
- To find the favorable outcomes, we need to consider the cases when P > 20, Q > 10, and R > 20.
- Let's assume P = 21, then the sum of Q and R should be 79. Since Q and R are positive integers, the possibilities for Q and R can be calculated using the same formula as above.
- For P = 21, the number of possibilities for Q and R = (79 + 2 - 1)C(2 - 1) = 80C1 = 80
- Similarly, for P = 22, 23, ..., 80, the number of possibilities for Q and R will be 78, 77, ..., 21 respectively.
Calculating the probability:
- Adding up all the favorable outcomes, we get 80 + 78 + 77 + ... + 1 = 3160
- Therefore, the probability = 3160 / 5151 = 8 / 33
Therefore, the correct answer is option 'b) 8/33'.
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DIRECTIONS for the question:Solve the following question and mark the best possible option.P, Q and R are positive integers such that P+Q+R=100. Find the probability that P >20, Q > 10 and R>20.?a)23/99b)8/33c)2/9d)1/3Correct answer is option 'B'. Can you explain this answer?
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DIRECTIONS for the question:Solve the following question and mark the best possible option.P, Q and R are positive integers such that P+Q+R=100. Find the probability that P >20, Q > 10 and R>20.?a)23/99b)8/33c)2/9d)1/3Correct answer is option 'B'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about DIRECTIONS for the question:Solve the following question and mark the best possible option.P, Q and R are positive integers such that P+Q+R=100. Find the probability that P >20, Q > 10 and R>20.?a)23/99b)8/33c)2/9d)1/3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for the question:Solve the following question and mark the best possible option.P, Q and R are positive integers such that P+Q+R=100. Find the probability that P >20, Q > 10 and R>20.?a)23/99b)8/33c)2/9d)1/3Correct answer is option 'B'. Can you explain this answer?.
DIRECTIONS for the question:Solve the following question and mark the best possible option.P, Q and R are positive integers such that P+Q+R=100. Find the probability that P >20, Q > 10 and R>20.?a)23/99b)8/33c)2/9d)1/3Correct answer is option 'B'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about DIRECTIONS for the question:Solve the following question and mark the best possible option.P, Q and R are positive integers such that P+Q+R=100. Find the probability that P >20, Q > 10 and R>20.?a)23/99b)8/33c)2/9d)1/3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for the question:Solve the following question and mark the best possible option.P, Q and R are positive integers such that P+Q+R=100. Find the probability that P >20, Q > 10 and R>20.?a)23/99b)8/33c)2/9d)1/3Correct answer is option 'B'. Can you explain this answer?.
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