Explanation:

- Pot 1: The ratio of alcohol to water is 2:3.

- This means 2 parts alcohol and 3 parts water.

- Pot 2: The ratio is 4:1.

- Meaning 4 parts alcohol and 1 part water.

- Amount of mixture is equal in both pots.

- To find the new ratio after mixing:

- Total parts for Pot 1 = 2 + 3 = 5 parts

- Total parts for Pot 2 = 4 + 1 = 5 parts

- Alcohol from Pot 1 = \( \frac{2}{5} \)

- Water from Pot 1 = \( \frac{3}{5} \)

- Alcohol from Pot 2 = \( \frac{4}{5} \)

- Water from Pot 2 = \( \frac{1}{5} \)

- New Alcohol Quantity: \( \frac{2}{5} + \frac{4}{5} = \frac{6}{5} \)

- New Water Quantity: \( \frac{3}{5} + \frac{1}{5} = \frac{4}{5} \)

- New Ratio of Alcohol to Water: \( \frac{6}{5} : \frac{4}{5} = 6 : 4 = 3 : 2 \)

- The correct answer is Option 3: 3:2