Question

John rolled a number cube 10 times and rolled 4 three times. which is greater the experimental probability or the theoretical probability

Answer 1

Experimental probability

Explanation:

The experimental probability refers to the value that we got from the experiment. In this case, we know that John rolled a four, 3/10 times. Therefore, the experimental probability is 3/10 (0.3).

The empirical probability refers to what we would expect to happen. A cube has 6 sides and the chances of landing on each side is equally likely. Therefore, the chance that you would land on a four is 1/6 (0.1667).

To conclude, 3/10 is greater than 1/6, so the experimental probability is greater.

Answer 2

experimental probability is greater

Explanation:

Experimental probability: based on an actual experiment/trial with recorded results. It is the ratio of the recorded number of times an event occurs to the total number of trials carried out.

Therefore, as John rolled the cube 10 times and rolled a four 3 times:

`\sf experimental \ probability \ of \ rolling \ a \ 4 =(3)/(10)=0.3`

Theoretical probability: based on the likelihood that an event will occur without carrying out an actual experiment. It is the ratio of the number of desired outcomes to the total number of possible outcomes.

Therefore, a cube has 6 faces numbered 1 to 6, so the probability of rolling a 4 one time is 1/6.

`\sf theoretical\ probability \ of \ rolling \ a \ 4 =(1)/(6)=0.167 \ (3 \ dp)`

As 0.3 > 0.167, the experimental probability is greater.