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ect answerA problem is given to three students whose chances of solving it are 1/2, 1/3and ¼ respectively. What is the probability that the problem will be solved?Options1/43/41/27/12

Question

ect answerA problem is given to three students whose chances of solving it are 1/2, 1/3and ¼ respectively. What is the probability that the problem will be solved?Options1/43/41/27/12

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Solution

The problem can be solved by using the formula of probability.

First, we need to find the probability that all of them will not be able to solve the problem.

The probability that the first student will not solve the problem is 1 - 1/2 = 1/2. The probability that the second student will not solve the problem is 1 - 1/3 = 2/3. The probability that the third student will not solve the problem is 1 - 1/4 = 3/4.

The probability that none of them will solve the problem is the product of their individual probabilities, which is 1/2 * 2/3 * 3/4 = 1/4.

The probability that at least one of them will solve the problem is 1 minus the probability that none of them will solve the problem, which is 1 - 1/4 = 3/4.

So, the correct answer is 3/4.

This problem has been solved

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