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, we need to find the probabilities based on the given information. Let's break it down step by step.

### Given:
- Probability of A solving the problem, \( P(A) = \frac{1}{2} \)
- Probability of B solving the problem, \( P(B) = \frac{1}{3} \)

### Step 1: Find the probabilities of A and B not solving the problem.
- Probability of A not solving the problem, \( P(A') = 1 - P(A) = 1 - \frac{1}{2} = \frac{1}{2} \)
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