Assume you are conservative person. Make your decision (it wont affect anyone so you can…

As a conservative person, I would choose option a) to gain a guaranteed $50,000. Even though option b) has a possibility of gaining more money, the risk of losing$50,000 is not worth it for me. I would rather have a guaranteed amount of money and be able to plan and budget accordingly.

As a conservative person, even with the increased amount, I would still choose option a) to gain a guaranteed $50,000. The possibility of losing$50,000 with a 50% chance in option b) is still too risky for me. I value the security and stability of a guaranteed amount over the potential gain of an uncertain possibility.

As a conservative person, I would choose option a) to have a 50% chance to lose $50,000 and a 50$0. Although there is still a risk involved in this option, the probability of not losing any money is much more appealing than the certainty of losing $50,000 in option b).

In essence, option a) presents a limited downside risk with a possible upside, while option b) presents only a downside risk. As a conservative person, I would aim to minimize my risks and protect my financial security, and therefore, option a) is the better choice for me.

If option a) presents a 50% chance to lose $100,000 and a 50$0, then as a conservative person, I would choose option b) to lose a guaranteed $50,000.

While the possibility of not losing any money in option a) may seem attractive, the potential loss of $100,000 is simply too high of a risk for me. I value financial stability and a level of certainty with my decisions, and the risk of a larger loss outweighs the potential gain for me. Hence, even though option b) has its drawbacks, it presents a safer and more suitable option for me as a conservative person.

One plausible reason why people might be more willing to choose option a) in the second question (50% chance to lose $50,000 and 50$0) compared to the first question (50% chance to gain $50,000 and 50% chance to gain/lose nothing) is because of the phenomenon of "loss aversion." Loss aversion is a cognitive bias where people feel the pain of a loss more strongly than the pleasure of a gain of the same magnitude.

In the second question, both options involve a potential loss, which could induce a sense of fear or anxiety that may lead people to choose the option that minimizes the potential loss. While the first question presents a choice between a guaranteed gain and a potential for gain or loss, the second scenario presents a choice between two potential losses, which could trigger different decision-making behaviors.

Overall, people's decisions may depend on their individual risk tolerance, financial goals, the potential benefits of the gains or losses, and their personal biases, among other factors.