Alberto conducted an experiment by rolling a fair six-sided number cube 60 times. He rolled a 2 fifteen times. Which statement about rolling a 2 in Alberto’s experiment is correct?
The experimental probability of rolling a 2 is and the theoretical probability of rolling a 2 is .
The experimental probability of rolling a 2 is and the theoretical probability of rolling a 2 is .
The experimental probability of rolling a 2 is and the theoretical probability of rolling a 2 is .
The experimental probability of rolling a 2 is and the theoretical probability of rolling a 2 is .

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Answer:

Experimental probability is the probability of what actually happens in the given experiment.

We know that a fair six-sided cube is rolled 60 times and the outcome 2 has occurred 15 times out of 60 times.

Therefore, the experiment probability in the given experiment is:

Experimental probability of rolling 2  

[tex]\frac{15}{60}=\frac{1}{4}[/tex]


Now, the theoretical probability is the probability of what is expected from the random experiment. We know that a cube has 6 sides and the theoretical probability of getting 2 is given below:

Theoretical probability of rolling a 2    

[tex]\frac{1}{6}[/tex]

Therefore, the correct option is:

The experimental probability of rolling a 2 is [tex]\frac{1}{4}[/tex] and the theoretical probability of rolling a 2 is [tex]\frac{1}{6}[/tex].


Answer

C is the correct answer

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