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 possible outcomes.
D. Theoretical; The result is found by repeating an Experiment.
My answer is A or D. I am a bit confused. I think that it could be either. Please help.
It cannot be both experimental and theoretical. An experimental probability shows the result of an actual experiment.
Thank you Ms. Sue. I know that it cannot be both, but I feel like it is one of the two.
The problem says you roll a number cube --
Oh. I get it. Thanks! I dont know why I didn't get it before.... ;-;
You're welcome. :-)
The correct answer is B. Experimental; The result is found by repeating an Experiment.
In this scenario, you are rolling a number cube 12 times and recording the outcome each time. The fact that P(5) is given as 2/3 indicates that out of the 12 rolls, the number 5 occurred 8 times. This probability is calculated from the actual experimental data obtained by performing the experiment (rolling the cube) and observing the outcomes.
The other options can be ruled out based on the given information:
A. Experimental probability is typically based on actual experimental results, not solely the number of possible outcomes.
C. Theoretical probability is based on mathematical calculations and assumes equally likely outcomes. In this case, there is no information given about the equal likelihood of rolling each number on the cube, so theoretical probability cannot be used.
D. The phrase "repeating an experiment" implies conducting a new experiment multiple times to gather data. However, in this scenario, the same experiment is repeated 12 times, resulting in experimental probability.
Therefore, the correct answer is B. Experimental; The result is found by repeating an Experiment.