Which of the following situations qualifies as a statistical experiment?

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A situation qualifies as a statistical experiment if it involves a process or activity where the outcome is uncertain and can be observed or measured. In the case of rolling two dice until you get doubles, this process meets the criteria for a statistical experiment because you are repeatedly performing the same action (rolling the dice), and each roll has uncertain outcomes (the various combinations of numbers that can result).

Moreover, the process can be repeated multiple times leading to different outcomes each time, providing a set of results that can be analyzed statistically. The focus is on the variability and outcomes of the rolls, which is key to statistical experiments.

The other scenarios do not fit the definition as closely. Flipping a coin 12 times may seem like a statistical experiment as well, but it is less dynamic since it is only a set number of trials without the aspect of stopping based on conditions or outcomes like in option A. Counting the desks in a classroom is an observational method rather than an experiment, as it does not involve randomness or uncertainty. Lastly, rolling a die 6 times in a row, while it is a series of trials, lacks the ongoing decision-making element that characterizes a statistical experiment, as you are not stopping based on outcomes like getting doubles.

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