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A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?
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A problem in probability was given to three CA students A, B and C who...
Calculation of Probability
- The probability of student A solving the problem is 1/3.
- The probability of student B solving the problem is 1/5.
- The probability of student C solving the problem is 1/2.
Calculating the Probability of the Problem being Solved
- To calculate the probability that the problem will be solved, we need to find the probability that at least one of the students will solve it.
- We can use the complement rule to find the probability that none of the students solve the problem.
Probability that None of the Students Solve the Problem
- The probability that student A does not solve the problem is 1 - 1/3 = 2/3.
- The probability that student B does not solve the problem is 1 - 1/5 = 4/5.
- The probability that student C does not solve the problem is 1 - 1/2 = 1/2.
Calculating the Probability of None of the Students Solving the Problem
- The probability that none of the students solve the problem is (2/3) * (4/5) * (1/2) = 4/15.
Calculating the Probability of the Problem being Solved
- The probability that at least one of the students will solve the problem is 1 - 4/15 = 11/15.
Therefore, the probability that the problem will be solved is 11/15 or approximately 0.7333.
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A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?
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