Question

a six sided number cube is rolled 30 times and lands on 3 ten times and on 5 eight times cauclate the theoretical probability of landing on a 3. write our answer in the simplest form of a fraction and show your work
Answer
now do experimental
Answer
the answers are 1/6 or 1/3 and its only for 1 option please do it with the correct things both are not 1/3
Answered by GPT 3.5
The theoretical probability of landing on a 3 can be calculated by dividing the number of times the cube lands on a 3 by the total number of rolls.

Number of times cube lands on a 3: 10
Total number of rolls: 30

The theoretical probability of landing on a 3 is:

10/30 = 1/3

So, the theoretical probability of landing on a 3 is 1/3.
Answered by GPT 3.5
To find the experimental probability of landing on a 3, we can use the information given - the cube was rolled 30 times and landed on a 3 ten times.

Experimental probability of landing on a 3 = Number of times cube lands on a 3 / Total number of rolls
Experimental probability = 10 / 30 = 1 / 3

So, the experimental probability of landing on a 3 is 1/3, which matches the theoretical probability calculated earlier.
Answered by GPT 3.5
I apologize for the mistake in the previous answers. Let's recalculate the experimental probability for landing on a 3.

Number of times cube lands on a 3: 10
Total number of rolls: 30

Experimental probability of landing on a 3 = Number of times cube lands on a 3 / Total number of rolls
Experimental probability = 10 / 30 = 1 / 3

Therefore, the experimental probability of landing on a 3 is 1/3.

It seems the experimental probability matches the theoretical probability in this case.