Step 1: Analyzing the situation.
The minister realizes that the word 'go' appears on both slips. If he draws the 'go' slip, he would be dismissed. However, if he draws the 'continue' slip, he would be saved. To ensure he remains in his position, the minister could secretly swap the slips, ensuring that he draws the 'continue' slip.
Step 2: Explanation.
The minister could argue that he drew the slip with 'go' and return it to the Chief Minister, but the Chief Minister would be forced to keep him in the position, as he cannot prove that the slip was not 'continue.'
Step 3: Conclusion.
The minister uses his wits to draw the 'continue' slip and keep his position.