Based on prior knowledge, it is difficult to predict someone's income based solely on their gender. However, it is still possible to analyze the relationship between gender and income to identify any patterns or trends.

To conduct the analysis, we can examine the gender distribution within each income category. If there is a significant difference in the gender distribution between those earning more than 50000 dollars per year and those earning less, then gender may have some relationship with income.

Let's assume we have the following data:

Gender: ['Male', 'Female', 'Male', 'Male', 'Female', 'Male', 'Male', 'Female', 'Male', 'Female', 'Female', 'Male']

Income: ['No', 'Yes', 'No', 'Yes', 'Yes', 'Yes', 'Yes', 'No', 'Yes', 'No', 'Yes', 'Yes']

To analyze the relationship, we can create a dictionary as follows:

```json
{
	"no": ["Female"],  
	"yes": ["Male", "Female"]
}
```

Based on this analysis, it appears that there is no clear pattern between gender and income, as both genders are represented in both income categories. Consequently, it is difficult to make a reliable prediction about someone's income solely based on their gender.