Question

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

Am I Correct? 

Answer 1

A number cube is rolled 120 times. The number 4 comes up 47 times.

We have to determine the experimental probability of rolling a 4.

The formula to evaluate probability of an event is given by:

Probability  = $\frac{Favourable outcomes}{Total outcomes}$

So, Probability of rolling a 4 = $\frac{ Total number of times when 4 appears}{Total number of times number cube rolled}$

= $\frac{47}{120}$

Now, we have to find the theoretical probability of rolling a 4.

Total number of outcomes of number cube = {1,2,3,4,5,6}

Probability of rolling a 4 = $\frac{1}{6}$

So, Option B is the correct answer.

Answer 2

Your are correct its b