Explanation:

- A standard die has numbers 1 to 6.

- Multiples of 2 on a die: 2, 4, 6.

- Neither a multiple of 3 nor 2: 1 or 5.

- Calculate probability for both conditions to occur:

1. Probability for a die to show a multiple of 2: 3 out of 6 (2, 4, or 6) = 3/6 = 1/2.

2. Probability for a die not showing multiple of 2 or 3: 2 out of 6 (1 or 5) = 2/6 = 1/3.

- Overall probability of both conditions: (1/2) * (1/3) = 1/6.

- ? Correct Answer: Option 3 - 1/6