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Problem of probability is given to 3 teachers A, B and C whose changes of solving it are 2/3, 3/4 and 4/5 respectively. Find the probability that the problem will be soloved.?
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Problem of probability is given to 3 teachers A, B and C whose changes...
Problem: Probability of solving a problem given to 3 teachers A, B, and C are 2/3, 3/4, and 4/5 respectively. Find the probability that the problem will be solved.
Solution:
Step 1: Find the probability that the problem will not be solved by any teacher.
The probability that the problem will not be solved by teacher A is 1 - 2/3 = 1/3.
The probability that the problem will not be solved by teacher B is 1 - 3/4 = 1/4.
The probability that the problem will not be solved by teacher C is 1 - 4/5 = 1/5.
The probability that the problem will not be solved by any teacher is the product of the individual probabilities, i.e., (1/3) x (1/4) x (1/5) = 1/60.
Step 2: Find the probability that the problem will be solved by at least one teacher.
The probability that the problem will be solved by at least one teacher is the complement of the probability that the problem will not be solved by any teacher, i.e., 1 - 1/60 = 59/60.
Therefore, the probability that the problem will be solved is 59/60.
Conclusion: The probability of solving the problem is 59/60.
Solution:
Step 1: Find the probability that the problem will not be solved by any teacher.
The probability that the problem will not be solved by teacher A is 1 - 2/3 = 1/3.
The probability that the problem will not be solved by teacher B is 1 - 3/4 = 1/4.
The probability that the problem will not be solved by teacher C is 1 - 4/5 = 1/5.
The probability that the problem will not be solved by any teacher is the product of the individual probabilities, i.e., (1/3) x (1/4) x (1/5) = 1/60.
Step 2: Find the probability that the problem will be solved by at least one teacher.
The probability that the problem will be solved by at least one teacher is the complement of the probability that the problem will not be solved by any teacher, i.e., 1 - 1/60 = 59/60.
Therefore, the probability that the problem will be solved is 59/60.
Conclusion: The probability of solving the problem is 59/60.
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Problem of probability is given to 3 teachers A, B and C whose changes of solving it are 2/3, 3/4 and 4/5 respectively. Find the probability that the problem will be soloved.?
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Problem of probability is given to 3 teachers A, B and C whose changes of solving it are 2/3, 3/4 and 4/5 respectively. Find the probability that the problem will be soloved.? 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 Problem of probability is given to 3 teachers A, B and C whose changes of solving it are 2/3, 3/4 and 4/5 respectively. Find the probability that the problem will be soloved.? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Problem of probability is given to 3 teachers A, B and C whose changes of solving it are 2/3, 3/4 and 4/5 respectively. Find the probability that the problem will be soloved.?.
Problem of probability is given to 3 teachers A, B and C whose changes of solving it are 2/3, 3/4 and 4/5 respectively. Find the probability that the problem will be soloved.? 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 Problem of probability is given to 3 teachers A, B and C whose changes of solving it are 2/3, 3/4 and 4/5 respectively. Find the probability that the problem will be soloved.? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Problem of probability is given to 3 teachers A, B and C whose changes of solving it are 2/3, 3/4 and 4/5 respectively. Find the probability that the problem will be soloved.?.
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