Four students, A, B, C, and D, are randomly chosen to solve a math problem given in Scaler NSET. The probability of solving the problem correctly for each student is given as follows:Student A has a 1/6 chance of solving the problem.Student B has a 2/9 chance of solving the problem.Student C has a 1/4 chance of solving the problem.Student D has a 3/10 chance of solving the problem.What is the probability that the math problem will be solved correctly?</br> Note: Round off your answer to 2 decimal places. For example if the answer is 0.548 put 0.55 and if the answer is 0.544 then put 0.54

To solve this problem, we need to find the probability that at least one student solves the problem correctly. This is equivalent to finding the probability that all students fail to solve the problem, and subtracting this from 1.

The probability that a student fails to solve the problem is 1 minus the probability that they solve it. So:

• The probability that Student A fails is 1 - 1/6 = 5/6.
• The probability that Student B fails is 1 - 2/9 = 7/9.
• The probability that Student C fails is 1 - 1/4 = 3/4.
• The probability that Student D fails is 1 - 3/10 = 7/10.

The probability that all students fail is the product of their individual failure probabilities, because we assume that their attempts are independent. So, the probability that all students fail is (5/6) * (7/9) * (3/4) * (7/10) = 0.40833.

Finally, the probability that at least one student solves the problem correctly is 1 minus the probability that all students fail, which is 1 - 0.40833 = 0.59167.

Rounding this to two decimal places, we get 0.59. So, the probability that the math problem will be solved correctly is 0.59.