1. You roll a number cube numbered one to six 12 times. P(5)=2/3. What type of probability is illustrated and why?
A. Experimental; the result is based on the number of possible outcomes.
B. Experimental; the result is found by repeating an experiment.
C. Theoretical; the result is based on the number of outcomes.
D. Theoretical; the result is found by repeating an experiment.
B, theoretical P(5) one roll = 1/6
The correct answer is D. Theoretical; the result is found by repeating an experiment.
The given scenario involves rolling a number cube, which is a classic example of an experiment with a known set of possible outcomes (numbers 1 to 6). In this case, the probability of rolling a 5 is given as 2/3.
To determine the type of probability illustrated, we consider whether the probability is obtained from actual experiments or from theoretical calculations. Experimental probability is based on the results of repeated experiments, while theoretical probability is calculated based on the theoretical analysis of the situation.
In this case, the probability is provided directly as 2/3, which suggests that it is a result of theoretical analysis rather than experimental observations. Additionally, the option "Theoretical; the result is found by repeating an experiment" does not accurately describe the given scenario since the probability is given directly, not found through repeated experimentation.
Therefore, the correct answer is D. Theoretical; the result is found by repeating an experiment.