Probabilities of solving a specific problem independently by A and B are `1/2\ a n d1/3` respectively. If both try to solve the problem independently, find the probability that (i) the problem is solved (ii) exactly one of them solves the problem.

Explanation

To solve the problem step by step, we will calculate the required probabilities based on the information given.

### Step 1: Define the probabilities
Let:
- \( P(A) \) = Probability that A solves the problem = \( \frac{1}{2} \)
- \( P(B) \) = Probability that B solves the problem = \( \frac{1}{3} \)

### Step 2: Calculate the probabilities of not solving the problem
...