Final answer:
When a 2-year-old child's one eye moves inward while tired, it can indicate strabismus, a condition where the eyes do not align properly, sometimes leading to double vision.
Step-by-step explanation:
The behavior observed when a 2-year-old child is tired that would lead a nurse to suspect strabismus is when one eye moves inward. This condition can cause the eyes to not properly align with each other and can result in diplopia or double vision. When the child is fatigued, this misalignment can become more noticeable, as the muscles that control eye movement are less able to compensate for the issue. While excessive blinking and one eyelid drooping can be associated with other conditions, they do not specifically suggest strabismus, and cloudy eyes could indicate cataracts or other serious eye conditions which don't relate to eye muscle coordination.