The probability of hitting a target by three marksmen are 1/2, 1/3 and 1/4. Then find the probabi9lity that one and only one of them will hit the target when they fire simultaneously.

Explanation

To find the probability that one and only one of the three marksmen will hit the target when they fire simultaneously, we can follow these steps:

### Step-by-Step Solution:

1. **Define the Probabilities**:
- Let the probability of marksman A hitting the target be \( P(A) = \frac{1}{2} \).
- Let the probability of marksman B hitting the target be \( P(B) = \frac{1}{3} \).
- Let the probability of marksman C hitting the target be \( P(C) = \frac{1}{4} \).
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