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If 4 letters are put randomly among the 4 envelopes then the probability that all are not put in correct envelopes?
(a)1/4
(b)1
(c)23/4
(d)9/24?
(a)1/4
(b)1
(c)23/4
(d)9/24?
Most Upvoted Answer
If 4 letters are put randomly among the 4 envelopes then the probabili...
Probability of Incorrectly placing all 4 letters in envelopes
In this scenario, we are given 4 letters and 4 envelopes, and we want to find the probability that all 4 letters are not placed in their correct envelopes.
Possible arrangements
- There are 4! = 24 ways of arranging the 4 letters in the 4 envelopes.
- Out of these 24 arrangements, only 1 arrangement is correct where all letters are placed in their correct envelopes.
Finding the probability
- The probability of all letters not being placed in their correct envelopes is the complement of the probability of all letters being placed correctly.
- Therefore, the probability of all letters not being placed correctly is 1 - (1/24) = 23/24.
Conclusion
The probability that all 4 letters are not placed in their correct envelopes is 23/24.
Therefore, the correct option is:
(c) 23/24
In this scenario, we are given 4 letters and 4 envelopes, and we want to find the probability that all 4 letters are not placed in their correct envelopes.
Possible arrangements
- There are 4! = 24 ways of arranging the 4 letters in the 4 envelopes.
- Out of these 24 arrangements, only 1 arrangement is correct where all letters are placed in their correct envelopes.
Finding the probability
- The probability of all letters not being placed in their correct envelopes is the complement of the probability of all letters being placed correctly.
- Therefore, the probability of all letters not being placed correctly is 1 - (1/24) = 23/24.
Conclusion
The probability that all 4 letters are not placed in their correct envelopes is 23/24.
Therefore, the correct option is:
(c) 23/24
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If 4 letters are put randomly among the 4 envelopes then the probability that all are not put in correct envelopes?(a)1/4(b)1(c)23/4(d)9/24?
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If 4 letters are put randomly among the 4 envelopes then the probability that all are not put in correct envelopes?(a)1/4(b)1(c)23/4(d)9/24? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If 4 letters are put randomly among the 4 envelopes then the probability that all are not put in correct envelopes?(a)1/4(b)1(c)23/4(d)9/24? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 4 letters are put randomly among the 4 envelopes then the probability that all are not put in correct envelopes?(a)1/4(b)1(c)23/4(d)9/24?.
If 4 letters are put randomly among the 4 envelopes then the probability that all are not put in correct envelopes?(a)1/4(b)1(c)23/4(d)9/24? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If 4 letters are put randomly among the 4 envelopes then the probability that all are not put in correct envelopes?(a)1/4(b)1(c)23/4(d)9/24? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 4 letters are put randomly among the 4 envelopes then the probability that all are not put in correct envelopes?(a)1/4(b)1(c)23/4(d)9/24?.
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