A problem in Statistics is given to the three students A, B, and C whose chances of solving it are 1/3, 1/4 and 1/5 respectively. What is the probability that the problem is solved.a.1/2b.2/3c.1/5d.3/5
Question
A problem in Statistics is given to the three students A, B, and C whose chances of solving it are 1/3, 1/4 and 1/5 respectively. What is the probability that the problem is solved.a.1/2b.2/3c.1/5d.3/5
Solution
The problem can be solved by using the formula of probability.
First, we need to find the probability that none of them will solve the problem.
The probability that A will not solve the problem is 1 - 1/3 = 2/3. The probability that B will not solve the problem is 1 - 1/4 = 3/4. The probability that C will not solve the problem is 1 - 1/5 = 4/5.
The probability that none of them will solve the problem is the product of their individual probabilities of not solving the problem.
So, the probability that none of them will solve the problem is 2/3 * 3/4 * 4/5 = 24/60 = 0.4.
The probability that at least one of them will solve the problem is 1 - the probability that none of them will solve the problem.
So, the probability that the problem is solved is 1 - 0.4 = 0.6.
Therefore, the answer is d. 3/5.
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