Hi. Will you help me on this question? I had my answer, but then I started second guessing myself.
A number cube is rolled 120 times. The number 4 comes up 47 times. What is the experimental probability of rolling a 4? What is the theoretical probability of rolling a 4?
A. 47/120; 1/30
B. 47/120; 1/6***
C. 4/47; 1/6
D. 1/6; 47/120
If this is not correct, let me know and I will try again to figure it out. Thank you in advance.
agree
Sure, I'd be happy to help you with this question!
To find the experimental probability of rolling a 4, you divide the number of times the event occurred (in this case, rolling a 4) by the total number of trials. In your case, the number 4 comes up 47 times out of 120 rolls. So, the experimental probability of rolling a 4 is 47/120.
Now, let's talk about the theoretical probability of rolling a 4. The theoretical probability is based on the assumption of an ideal or fair number cube. Since a number cube has 6 sides, each numbered from 1 to 6, and only one of the sides has the number 4, the theoretical probability of rolling a 4 is 1/6.
Therefore, the correct answer is B. So, you were right in your initial guess! The experimental probability of rolling a 4 is 47/120, and the theoretical probability is 1/6.