Consider Simulating the Average Roll of Two Fair 6-Sided Dice $10000$

question 8

Multiple Choice

Consider simulating the average roll of two fair 6-sided dice.Below is a histogram of the simulated average over $10000$ trials. Based on the simulation,approximate the probability that the average roll is between (and including) 3 and 4.Note: This is equivalently,the probability that the sum of the two rolls is between (and including) 6 and 8.

• A)0.15
• B)0.25
• C)0.35
• D)0.45
• E)0.55

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Definitions:

Stroop Effect

A phenomenon demonstrating the delay in reaction time when the color of a word and its meaning do not match.

Maximizing

The strategy of choosing the best possible alternative from a set of options to ensure the highest level of satisfaction or utility.

Framed

In psychology, refers to the way information is presented to individuals, influencing their decisions and perceptions based on the context or "frame" used.

Satisficing

A decision-making strategy that involves choosing an option that meets a minimum level of satisfaction rather than the optimal solution.