Question

A number cube is rolled 450 times. The number 3 comes up 67 times. A, what is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form. B. What is the experimental probability of rolling 3? Write your answer as a fraction in simplest form.

Answer 1

A)  Thoeretical probability:

(number of specific outcomes)/(number of total possible outcomes)

P(3)=1/6

B)  Experimental probability:

(number of specific outcomes observed)/(total number of observations)

P(3)=67/450 

Answer 2

A. 1/6, 6 possible outcomes with 1 desired result.
B.67/450 will give you the answer of 14.888...% I'm going to assume your teacher will let you round to 15 so the chances are 15/100 and in simplest form is 3/20.