The problem can be solved by finding the probability that at least one of them solves the problem. This is equal to 1 minus the probability that none of them solves the problem.

Step 1: Find the probability that each student does not solve the problem. This is simply 1 minus their respective probabilities of solving the problem. So, for the first student, the probability of not solving the problem is 1 - 1/2 = 1/2. For the second student, it's 1 - 1/3 = 2/3. And for the third student, it's 1 - 1/4 = 3/4.

Step 2: Find the probability that none of them solves the problem. This is the product of their individual probabilities of not solving the problem. So, the probability that none of them solves the problem is 1/2 * 2/3 * 3/4 = 1/4.

Step 3: Find the probability that at least one of them solves the problem. This is 1 minus the probability that none of them solves the problem. So, the probability that the problem is solved is 1 - 1/4 = 3/4.

So, the correct answer is 3/4.

Question

The problem can be solved by finding the probability that at least one of them solves the problem. This is equal to 1 minus the probability that none of them solves the problem.

Step 1: Find the probability that each student does not solve the problem. This is simply 1 minus their respective probabilities of solving the problem. So, for the first student, the probability of not solving the problem is 1 - 1/2 = 1/2. For the second student, it's 1 - 1/3 = 2/3. And for the third student, it's 1 - 1/4 = 3/4.

Step 2: Find the probability that none of them solves the problem. This is the product of their individual probabilities of not solving the problem. So, the probability that none of them solves the problem is 1/2 * 2/3 * 3/4 = 1/4.

Step 3: Find the probability that at least one of them solves the problem. This is 1 minus the probability that none of them solves the problem. So, the probability that the problem is solved is 1 - 1/4 = 3/4.

So, the correct answer is 3/4.

Knowee AI · Accepted Answer

The problem can be solved by finding the probability that at least one of them solves the problem. This is equal to 1 minus the probability that none of them solves the problem.

Step 1: Find the probability that each student does not solve the problem. This is simply 1 minus their respective probabilities of solving the problem. So, for the first student, the probability of not solving the problem is 1 - 1/2 = 1/2. For the second student, it's 1 - 1/3 = 2/3. And for the third student, it's 1 - 1/4 = 3/4.

Step 2: Find the probability that none of them solves the problem. This is the product of their individual probabilities of not solving the problem. So, the probability that none of them solves the problem is 1/2 * 2/3 * 3/4 = 1/4.

Step 3: Find the probability that at least one of them solves the problem. This is 1 minus the probability that none of them solves the problem. So, the probability that the problem is solved is 1 - 1/4 = 3/4.

So, the correct answer is 3/4.

A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively.What is the probability that the problem will be solved?Choices:- 1/2 1/4 3/4 7/12

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