apples & oranges. Those "rich" are almost exclusively from rich nations. Travel to the 3rd/developing world and see how many people of any class take part in high risk physical activities (excluding life!). The answer is close to zero. To extend, participating in high risk activities is a byproduct of societal wealth, not personal wealth.
Then why do people in poor nations with over 50% AIDS rates still fuck even after learning about transmission, etc.? Now that's risk.