Question

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 .

Answer 1

C is the correct answer

Step-by-step explanation: Just did it

Answer 2

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

`(15)/(60)=(1)/(4)`

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

`(1)/(6)`

Therefore, the correct option is:

The experimental probability of rolling a 2 is
`(1)/(4)` and the theoretical probability of rolling a 2 is
`(1)/(6)`.