Question

monte carlo simulations involve running thousands of trials with different variables to see what outcomes are most likely.
bayesian thinking allows us to update our about the likelihood of events as we receive new information.
the expected calculation helps us to predict the most likely result by considering all possible outcomes.
a probability is the initial judgment about the likelihood of an event before considering new evidence.
after incorporating new evidence, the updated probability in bayesian thinking is referred to as the probability.

Explanation:

• Monte Carlo Simulations use random variables.
• Bayesian Thinking updates beliefs.
• Expected Value considers all outcomes.
• Prior Probability is initial.
• Posterior Probability is updated.

Answer:

1. random
2. beliefs
3. Value
4. Prior
5. Posterior