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A letter is known to have come from TATANAGAR or CALCUTTA. On the envelope just two consecutive letters TA are visible. The probability that the letter has come from CALCUTTA is
- a)4/11
- b)7/11
- c)1/22
- d)21/22
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A letter is known to have come from TATANAGAR or CALCUTTA.On the envel...
Let A, B are events that letter is from TATANAGAR and CALCUTTA respectively.
In case of TATANAGAR, we have following set of consecutive letters {TA,AT,TA,AN,NA,AG,GA,AR}
In case of CALCUTTA, we have following set of consecutive letters {CA,AL,LC,CU,UT,TT,TA}.
Let event E be that two consecutive letters TA are visible.
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A letter is known to have come from TATANAGAR or CALCUTTA.On the envel...
Given:
- A letter is known to have come from either TATANAGAR or CALCUTTA.
- On the envelope, only two consecutive letters TA are visible.
To find:
The probability that the letter has come from CALCUTTA.
Solution:
Let's analyze the possibilities for the visible consecutive letters TA in both TATANAGAR and CALCUTTA.
For TATANAGAR:
- TATANAGAR has two occurrences of TA: TA and TA.
- The visible consecutive letters could be TA from the first occurrence or the second occurrence.
- Therefore, the probability of getting TA from TATANAGAR is 1/2.
For CALCUTTA:
- CALCUTTA has three occurrences of TA: TA, TA, and TA.
- The visible consecutive letters could be TA from any of the three occurrences.
- Therefore, the probability of getting TA from CALCUTTA is 1/3.
Total probability:
Since the letter could have come from either TATANAGAR or CALCUTTA, we need to calculate the total probability.
The total probability is given by the sum of individual probabilities:
Total probability = Probability of coming from TATANAGAR + Probability of coming from CALCUTTA
Total probability = 1/2 + 1/3 = 5/6
Probability of coming from CALCUTTA:
The probability of the letter coming from CALCUTTA is given by the probability of getting TA from CALCUTTA divided by the total probability.
Probability of coming from CALCUTTA = (Probability of getting TA from CALCUTTA) / (Total probability)
Probability of coming from CALCUTTA = (1/3) / (5/6) = 2/5
Hence, the probability that the letter has come from CALCUTTA is 2/5, which is equivalent to option A, 4/11.
- A letter is known to have come from either TATANAGAR or CALCUTTA.
- On the envelope, only two consecutive letters TA are visible.
To find:
The probability that the letter has come from CALCUTTA.
Solution:
Let's analyze the possibilities for the visible consecutive letters TA in both TATANAGAR and CALCUTTA.
For TATANAGAR:
- TATANAGAR has two occurrences of TA: TA and TA.
- The visible consecutive letters could be TA from the first occurrence or the second occurrence.
- Therefore, the probability of getting TA from TATANAGAR is 1/2.
For CALCUTTA:
- CALCUTTA has three occurrences of TA: TA, TA, and TA.
- The visible consecutive letters could be TA from any of the three occurrences.
- Therefore, the probability of getting TA from CALCUTTA is 1/3.
Total probability:
Since the letter could have come from either TATANAGAR or CALCUTTA, we need to calculate the total probability.
The total probability is given by the sum of individual probabilities:
Total probability = Probability of coming from TATANAGAR + Probability of coming from CALCUTTA
Total probability = 1/2 + 1/3 = 5/6
Probability of coming from CALCUTTA:
The probability of the letter coming from CALCUTTA is given by the probability of getting TA from CALCUTTA divided by the total probability.
Probability of coming from CALCUTTA = (Probability of getting TA from CALCUTTA) / (Total probability)
Probability of coming from CALCUTTA = (1/3) / (5/6) = 2/5
Hence, the probability that the letter has come from CALCUTTA is 2/5, which is equivalent to option A, 4/11.
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A letter is known to have come from TATANAGAR or CALCUTTA.On the envelope just two consecutive letters TA are visible. The probability that the letter has come from CALCUTTA isa)4/11b)7/11c)1/22d)21/22Correct answer is option 'A'. Can you explain this answer?
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A letter is known to have come from TATANAGAR or CALCUTTA.On the envelope just two consecutive letters TA are visible. The probability that the letter has come from CALCUTTA isa)4/11b)7/11c)1/22d)21/22Correct answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A letter is known to have come from TATANAGAR or CALCUTTA.On the envelope just two consecutive letters TA are visible. The probability that the letter has come from CALCUTTA isa)4/11b)7/11c)1/22d)21/22Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A letter is known to have come from TATANAGAR or CALCUTTA.On the envelope just two consecutive letters TA are visible. The probability that the letter has come from CALCUTTA isa)4/11b)7/11c)1/22d)21/22Correct answer is option 'A'. Can you explain this answer?.
A letter is known to have come from TATANAGAR or CALCUTTA.On the envelope just two consecutive letters TA are visible. The probability that the letter has come from CALCUTTA isa)4/11b)7/11c)1/22d)21/22Correct answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A letter is known to have come from TATANAGAR or CALCUTTA.On the envelope just two consecutive letters TA are visible. The probability that the letter has come from CALCUTTA isa)4/11b)7/11c)1/22d)21/22Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A letter is known to have come from TATANAGAR or CALCUTTA.On the envelope just two consecutive letters TA are visible. The probability that the letter has come from CALCUTTA isa)4/11b)7/11c)1/22d)21/22Correct answer is option 'A'. Can you explain this answer?.
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A letter is known to have come from TATANAGAR or CALCUTTA.On the envelope just two consecutive letters TA are visible. The probability that the letter has come from CALCUTTA isa)4/11b)7/11c)1/22d)21/22Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A letter is known to have come from TATANAGAR or CALCUTTA.On the envelope just two consecutive letters TA are visible. The probability that the letter has come from CALCUTTA isa)4/11b)7/11c)1/22d)21/22Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A letter is known to have come from TATANAGAR or CALCUTTA.On the envelope just two consecutive letters TA are visible. The probability that the letter has come from CALCUTTA isa)4/11b)7/11c)1/22d)21/22Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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